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Mrfootballman97

How do you simplify:

  • one year ago
  • one year ago

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  1. Mrfootballman97
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    \[\sqrt{72} \]

    • one year ago
  2. KonradZuse
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    Okay so some easy steps to start simplifying.

    • one year ago
  3. KonradZuse
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    First you're going to want to try to split that 72 into something you know can factor.

    • one year ago
  4. KonradZuse
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    Any idea what 72 can be split into?

    • one year ago
  5. Mrfootballman97
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    36?

    • one year ago
  6. KonradZuse
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    and what?

    • one year ago
  7. Mrfootballman97
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    ohhhhh. Do you mean like 8 times 9?

    • one year ago
  8. KonradZuse
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    yes, or like tyou said 36 times what? Your first guess was correct.

    • one year ago
  9. Mrfootballman97
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    so then what?

    • one year ago
  10. Mrfootballman97
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    or is that the answer? lol

    • one year ago
  11. KonradZuse
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    \[\sqrt{36 * ?}\]

    • one year ago
  12. Mrfootballman97
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    2

    • one year ago
  13. KonradZuse
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    \[\sqrt{36 * 2}\]

    • one year ago
  14. KonradZuse
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    now can you simplify sqrt(36 or sqrt(2)?

    • one year ago
  15. KonradZuse
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    WE don't split it up, so sorry if that last comment is confusing....

    • one year ago
  16. KonradZuse
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    WE can just look at each piece now, and determine what's needed....

    • one year ago
  17. abb0t
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    You can also use 8 and 9...

    • one year ago
  18. KonradZuse
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    yes, we can abb0t.... but this is easier. I was going to show 8 and 9 after.

    • one year ago
  19. Mrfootballman97
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    i can simplify 36 into

    • one year ago
  20. Mrfootballman97
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    \[\sqrt{6 * 6}\]

    • one year ago
  21. KonradZuse
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    nono, we don't need to simplify it that way. I meant does sqrt(36) or sqrt(2)= anything?

    • one year ago
  22. Mrfootballman97
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    oh yeah, 36= 6 and 2= 1.414214562. do i have to simplify 2?

    • one year ago
  23. KonradZuse
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    correct so we get \[6 \sqrt{2}\] which is our answer.

    • one year ago
  24. Mrfootballman97
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    ahhhhhhh thanks a lot

    • one year ago
  25. KonradZuse
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    we don't need to simplify 2, we just need to get it into it's simpliest form.

    • one year ago
  26. KonradZuse
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    so for example, lets use 8 and 9.

    • one year ago
  27. KonradZuse
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    \[\sqrt{72} = \sqrt{8 * 9} = 3 \sqrt{ 4 * 2} = 2 *3 \sqrt{2} = 6 \sqrt{2}\]

    • one year ago
  28. KonradZuse
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    Its' really just trying to take some ugly sqrt thart we cannot solve and split it into things that we can solve for :).

    • one year ago
  29. Mrfootballman97
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    i liked the 36 and 2 one better lol. Thanks again!

    • one year ago
  30. KonradZuse
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    Yeah, it's easier, but you can see how it can be applied with any set :). Good luck, I hope you understand the concepts.

    • one year ago
  31. Mrfootballman97
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    so lets see if i have this:

    • one year ago
  32. KonradZuse
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    Sure, throw up a random # and lets see if we can solve.

    • one year ago
  33. KonradZuse
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    as long as it's not prime... AHAH..

    • one year ago
  34. Mrfootballman97
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    \[\sqrt{75} = 5\sqrt{3}\]

    • one year ago
  35. KonradZuse
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    yes.

    • one year ago
  36. Mrfootballman97
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    yaaahooooo

    • one year ago
  37. Mrfootballman97
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    ok thanks cya later!

    • one year ago
  38. KonradZuse
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    \[\sqrt{75} = \sqrt{25 * 3} = 5 \sqrt{3}\]

    • one year ago
  39. KonradZuse
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    np good luck.

    • one year ago
  40. Mrfootballman97
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    Hey here is a new type of problem:

    • one year ago
  41. Mrfootballman97
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    \[\sqrt{5} \times \sqrt{35}\]

    • one year ago
  42. Mrfootballman97
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    Think you can do that?

    • one year ago
  43. KonradZuse
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    hmm Idk man you're asking a lot here... :p

    • one year ago
  44. KonradZuse
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    lets start off basic. Multiply them together, what do we get?

    • one year ago
  45. KonradZuse
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    or, if you want, you can split sqrt(35) into 2 parts, and go that way :).

    • one year ago
  46. Mrfootballman97
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    well i dont need to get the answer to the equation, i think i just need to simplify it. Its under the section of simplifying

    • one year ago
  47. Mrfootballman97
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    so do i just simplify each part?

    • one year ago
  48. KonradZuse
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    simplifying is the same thing.

    • one year ago
  49. KonradZuse
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    you basically are given an eq, to solve. IT could be multiplication, addition, etc, etc. Then you want to use the elements to combine and form something you are able to simplify and take something out of the sqrt. That is our main objective, to get a real number.

    • one year ago
  50. KonradZuse
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    We are doing exactly what we did before, exept we are adding an additional step. Instead of 35 and 5, we had 36 and 2. or 9 and 8(9 * 4 *2)

    • one year ago
  51. KonradZuse
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    I guess above I shouldn't have said you shouldn't split them out, because in the end you can, and it doesn't matter.... sqrt(36) * sqrt(2) is the same thing

    • one year ago
  52. KonradZuse
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    6 * sqrt(2)

    • one year ago
  53. Mrfootballman97
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    so would it be sqrt(5) and 35= 7 * 5

    • one year ago
  54. Mrfootballman97
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    \[\sqrt{5} \times \sqrt{7} \times \sqrt{5}\]?

    • one year ago
  55. Mrfootballman97
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    but those are primes....

    • one year ago
  56. KonradZuse
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    yessir, but you can combine them in other ways, no?

    • one year ago
  57. KonradZuse
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    sqrt(5) * sqrt(5) = ?

    • one year ago
  58. Mrfootballman97
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    i dont know. So then what do i do?

    • one year ago
  59. Mrfootballman97
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    oh didnt see your comment

    • one year ago
  60. KonradZuse
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    Always remember when we have 2 of the same sqrt() we get the actual number

    • one year ago
  61. Mrfootballman97
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    25?

    • one year ago
  62. Mrfootballman97
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    oops 5

    • one year ago
  63. KonradZuse
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    sqrt(25)yes.

    • one year ago
  64. KonradZuse
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    and yes.

    • one year ago
  65. Mrfootballman97
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    wait...

    • one year ago
  66. KonradZuse
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    we now have our answer.

    • one year ago
  67. Mrfootballman97
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    so how do i write down this answer?

    • one year ago
  68. KonradZuse
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    5sqrt(7)

    • one year ago
  69. Mrfootballman97
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    ohhhh ok

    • one year ago
  70. KonradZuse
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    Math is awesome that you can combine and move things around to find whatever you need. Lets say we have sqrt(3) sqrt(3) and sqrt(4) the 2 sqrt(3) become a 3. and the sqrt(4) becomes a 2. Our answer is 6.

    • one year ago
  71. KonradZuse
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    But if we had lets say sq(15) and sqrt(3) we will have to split up the sqrt(15) into sqrt(3) sqrt(5) and then another sqrt(3) which we end up getting 3sqrt(5)

    • one year ago
  72. Mrfootballman97
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    ahhhhhhhh that makes sense! Are you a math teacher or something?

    • one year ago
  73. KonradZuse
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    haha na...

    • one year ago
  74. KonradZuse
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    I just know how much it sucks to not get proper help.....

    • one year ago
  75. Mrfootballman97
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    yeah man. Ok well you saved my grade! Thanks again

    • one year ago
  76. KonradZuse
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    No problem good luck ,anymore questions you can do @konradzuse to get me.

    • one year ago
  77. Mrfootballman97
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    ok lets hope i dont need to do that :P

    • one year ago
  78. KonradZuse
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    There are lots more math in your future :).

    • one year ago
  79. Mrfootballman97
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    true that.

    • one year ago
  80. KonradZuse
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    :) I just got done with Linear Algebra and Calculus 2 :)

    • one year ago
  81. Mrfootballman97
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    im half way through geometry...

    • one year ago
  82. Mrfootballman97
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    hey would the answer to sqrt of 9 over 5 = sqrt of 45 over 5?

    • one year ago
  83. Mrfootballman97
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    |dw:1358109390649:dw|

    • one year ago
  84. Mrfootballman97
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    @KonradZuse

    • one year ago
  85. KonradZuse
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    nope... what's sqrt(9)?

    • one year ago
  86. Mrfootballman97
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    3

    • one year ago
  87. Mrfootballman97
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    would it be:

    • one year ago
  88. Mrfootballman97
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    \[\sqrt{3\sqrt{5}}\]

    • one year ago
  89. KonradZuse
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    nope 3/sqrt(5)...

    • one year ago
  90. Mrfootballman97
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    ohh

    • one year ago
  91. Mrfootballman97
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    so just:

    • one year ago
  92. Mrfootballman97
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    |dw:1358110687298:dw|

    • one year ago
  93. Mrfootballman97
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    or should it have a sqrt sign over the entire thing?

    • one year ago
  94. KonradZuse
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    think about it. sqrt(9)/sqrt(5) is the same thing as sqrt(9/5) sqrt(9) is 3.

    • one year ago
  95. Mrfootballman97
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    ok thanks. Have a good day

    • one year ago
  96. KonradZuse
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    yup.

    • one year ago
  97. KonradZuse
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    you can also double check everything with a calculator...

    • one year ago
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