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Mrfootballman97

  • 2 years ago

How do you simplify:

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  1. Mrfootballman97
    • 2 years ago
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    \[\sqrt{72} \]

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

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

  4. KonradZuse
    • 2 years ago
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    Any idea what 72 can be split into?

  5. Mrfootballman97
    • 2 years ago
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    36?

  6. KonradZuse
    • 2 years ago
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    and what?

  7. Mrfootballman97
    • 2 years ago
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    ohhhhh. Do you mean like 8 times 9?

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

  9. Mrfootballman97
    • 2 years ago
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    so then what?

  10. Mrfootballman97
    • 2 years ago
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    or is that the answer? lol

  11. KonradZuse
    • 2 years ago
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    \[\sqrt{36 * ?}\]

  12. Mrfootballman97
    • 2 years ago
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    2

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

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

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

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

  17. abb0t
    • 2 years ago
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    You can also use 8 and 9...

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

  19. Mrfootballman97
    • 2 years ago
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    i can simplify 36 into

  20. Mrfootballman97
    • 2 years ago
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    \[\sqrt{6 * 6}\]

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

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

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

  24. Mrfootballman97
    • 2 years ago
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    ahhhhhhh thanks a lot

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

  26. KonradZuse
    • 2 years ago
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    so for example, lets use 8 and 9.

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

  28. KonradZuse
    • 2 years ago
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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 :).

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

  30. KonradZuse
    • 2 years ago
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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.

  31. Mrfootballman97
    • 2 years ago
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    so lets see if i have this:

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

  33. KonradZuse
    • 2 years ago
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    as long as it's not prime... AHAH..

  34. Mrfootballman97
    • 2 years ago
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    \[\sqrt{75} = 5\sqrt{3}\]

  35. KonradZuse
    • 2 years ago
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    yes.

  36. Mrfootballman97
    • 2 years ago
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    yaaahooooo

  37. Mrfootballman97
    • 2 years ago
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    ok thanks cya later!

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

  39. KonradZuse
    • 2 years ago
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    np good luck.

  40. Mrfootballman97
    • 2 years ago
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    Hey here is a new type of problem:

  41. Mrfootballman97
    • 2 years ago
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    \[\sqrt{5} \times \sqrt{35}\]

  42. Mrfootballman97
    • 2 years ago
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    Think you can do that?

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

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

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

  46. Mrfootballman97
    • 2 years ago
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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

  47. Mrfootballman97
    • 2 years ago
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    so do i just simplify each part?

  48. KonradZuse
    • 2 years ago
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    simplifying is the same thing.

  49. KonradZuse
    • 2 years ago
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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.

  50. KonradZuse
    • 2 years ago
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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)

  51. KonradZuse
    • 2 years ago
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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

  52. KonradZuse
    • 2 years ago
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    6 * sqrt(2)

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

  54. Mrfootballman97
    • 2 years ago
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    \[\sqrt{5} \times \sqrt{7} \times \sqrt{5}\]?

  55. Mrfootballman97
    • 2 years ago
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    but those are primes....

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

  57. KonradZuse
    • 2 years ago
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    sqrt(5) * sqrt(5) = ?

  58. Mrfootballman97
    • 2 years ago
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    i dont know. So then what do i do?

  59. Mrfootballman97
    • 2 years ago
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    oh didnt see your comment

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

  61. Mrfootballman97
    • 2 years ago
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    25?

  62. Mrfootballman97
    • 2 years ago
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    oops 5

  63. KonradZuse
    • 2 years ago
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    sqrt(25)yes.

  64. KonradZuse
    • 2 years ago
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    and yes.

  65. Mrfootballman97
    • 2 years ago
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    wait...

  66. KonradZuse
    • 2 years ago
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    we now have our answer.

  67. Mrfootballman97
    • 2 years ago
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    so how do i write down this answer?

  68. KonradZuse
    • 2 years ago
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    5sqrt(7)

  69. Mrfootballman97
    • 2 years ago
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    ohhhh ok

  70. KonradZuse
    • 2 years ago
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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.

  71. KonradZuse
    • 2 years ago
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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)

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

  73. KonradZuse
    • 2 years ago
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    haha na...

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

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

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

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

  78. KonradZuse
    • 2 years ago
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    There are lots more math in your future :).

  79. Mrfootballman97
    • 2 years ago
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    true that.

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

  81. Mrfootballman97
    • 2 years ago
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    im half way through geometry...

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

  83. Mrfootballman97
    • 2 years ago
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    |dw:1358109390649:dw|

  84. Mrfootballman97
    • 2 years ago
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    @KonradZuse

  85. KonradZuse
    • 2 years ago
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    nope... what's sqrt(9)?

  86. Mrfootballman97
    • 2 years ago
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    3

  87. Mrfootballman97
    • 2 years ago
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    would it be:

  88. Mrfootballman97
    • 2 years ago
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    \[\sqrt{3\sqrt{5}}\]

  89. KonradZuse
    • 2 years ago
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    nope 3/sqrt(5)...

  90. Mrfootballman97
    • 2 years ago
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    ohh

  91. Mrfootballman97
    • 2 years ago
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    so just:

  92. Mrfootballman97
    • 2 years ago
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    |dw:1358110687298:dw|

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

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

  95. Mrfootballman97
    • 2 years ago
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    ok thanks. Have a good day

  96. KonradZuse
    • 2 years ago
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    yup.

  97. KonradZuse
    • 2 years ago
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    you can also double check everything with a calculator...

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