## Mrfootballman97 Group Title How do you simplify: one year ago one year ago

1. Mrfootballman97 Group Title

$\sqrt{72}$

2. KonradZuse Group Title

Okay so some easy steps to start simplifying.

3. KonradZuse Group Title

First you're going to want to try to split that 72 into something you know can factor.

4. KonradZuse Group Title

Any idea what 72 can be split into?

5. Mrfootballman97 Group Title

36?

6. KonradZuse Group Title

and what?

7. Mrfootballman97 Group Title

ohhhhh. Do you mean like 8 times 9?

8. KonradZuse Group Title

yes, or like tyou said 36 times what? Your first guess was correct.

9. Mrfootballman97 Group Title

so then what?

10. Mrfootballman97 Group Title

or is that the answer? lol

11. KonradZuse Group Title

$\sqrt{36 * ?}$

12. Mrfootballman97 Group Title

2

13. KonradZuse Group Title

$\sqrt{36 * 2}$

14. KonradZuse Group Title

now can you simplify sqrt(36 or sqrt(2)?

15. KonradZuse Group Title

WE don't split it up, so sorry if that last comment is confusing....

16. KonradZuse Group Title

WE can just look at each piece now, and determine what's needed....

17. abb0t Group Title

You can also use 8 and 9...

18. KonradZuse Group Title

yes, we can abb0t.... but this is easier. I was going to show 8 and 9 after.

19. Mrfootballman97 Group Title

i can simplify 36 into

20. Mrfootballman97 Group Title

$\sqrt{6 * 6}$

21. KonradZuse Group Title

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

22. Mrfootballman97 Group Title

oh yeah, 36= 6 and 2= 1.414214562. do i have to simplify 2?

23. KonradZuse Group Title

correct so we get $6 \sqrt{2}$ which is our answer.

24. Mrfootballman97 Group Title

ahhhhhhh thanks a lot

25. KonradZuse Group Title

we don't need to simplify 2, we just need to get it into it's simpliest form.

26. KonradZuse Group Title

so for example, lets use 8 and 9.

27. KonradZuse Group Title

$\sqrt{72} = \sqrt{8 * 9} = 3 \sqrt{ 4 * 2} = 2 *3 \sqrt{2} = 6 \sqrt{2}$

28. KonradZuse Group Title

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 Group Title

i liked the 36 and 2 one better lol. Thanks again!

30. KonradZuse Group Title

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 Group Title

so lets see if i have this:

32. KonradZuse Group Title

Sure, throw up a random # and lets see if we can solve.

33. KonradZuse Group Title

as long as it's not prime... AHAH..

34. Mrfootballman97 Group Title

$\sqrt{75} = 5\sqrt{3}$

35. KonradZuse Group Title

yes.

36. Mrfootballman97 Group Title

yaaahooooo

37. Mrfootballman97 Group Title

ok thanks cya later!

38. KonradZuse Group Title

$\sqrt{75} = \sqrt{25 * 3} = 5 \sqrt{3}$

39. KonradZuse Group Title

np good luck.

40. Mrfootballman97 Group Title

Hey here is a new type of problem:

41. Mrfootballman97 Group Title

$\sqrt{5} \times \sqrt{35}$

42. Mrfootballman97 Group Title

Think you can do that?

43. KonradZuse Group Title

hmm Idk man you're asking a lot here... :p

44. KonradZuse Group Title

lets start off basic. Multiply them together, what do we get?

45. KonradZuse Group Title

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

46. Mrfootballman97 Group Title

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 Group Title

so do i just simplify each part?

48. KonradZuse Group Title

simplifying is the same thing.

49. KonradZuse Group Title

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 Group Title

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 Group Title

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 Group Title

6 * sqrt(2)

53. Mrfootballman97 Group Title

so would it be sqrt(5) and 35= 7 * 5

54. Mrfootballman97 Group Title

$\sqrt{5} \times \sqrt{7} \times \sqrt{5}$?

55. Mrfootballman97 Group Title

but those are primes....

56. KonradZuse Group Title

yessir, but you can combine them in other ways, no?

57. KonradZuse Group Title

sqrt(5) * sqrt(5) = ?

58. Mrfootballman97 Group Title

i dont know. So then what do i do?

59. Mrfootballman97 Group Title

oh didnt see your comment

60. KonradZuse Group Title

Always remember when we have 2 of the same sqrt() we get the actual number

61. Mrfootballman97 Group Title

25?

62. Mrfootballman97 Group Title

oops 5

63. KonradZuse Group Title

sqrt(25)yes.

64. KonradZuse Group Title

and yes.

65. Mrfootballman97 Group Title

wait...

66. KonradZuse Group Title

we now have our answer.

67. Mrfootballman97 Group Title

so how do i write down this answer?

68. KonradZuse Group Title

5sqrt(7)

69. Mrfootballman97 Group Title

ohhhh ok

70. KonradZuse Group Title

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 Group Title

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 Group Title

ahhhhhhhh that makes sense! Are you a math teacher or something?

73. KonradZuse Group Title

haha na...

74. KonradZuse Group Title

I just know how much it sucks to not get proper help.....

75. Mrfootballman97 Group Title

yeah man. Ok well you saved my grade! Thanks again

76. KonradZuse Group Title

No problem good luck ,anymore questions you can do @konradzuse to get me.

77. Mrfootballman97 Group Title

ok lets hope i dont need to do that :P

78. KonradZuse Group Title

There are lots more math in your future :).

79. Mrfootballman97 Group Title

true that.

80. KonradZuse Group Title

:) I just got done with Linear Algebra and Calculus 2 :)

81. Mrfootballman97 Group Title

im half way through geometry...

82. Mrfootballman97 Group Title

hey would the answer to sqrt of 9 over 5 = sqrt of 45 over 5?

83. Mrfootballman97 Group Title

|dw:1358109390649:dw|

84. Mrfootballman97 Group Title

85. KonradZuse Group Title

nope... what's sqrt(9)?

86. Mrfootballman97 Group Title

3

87. Mrfootballman97 Group Title

would it be:

88. Mrfootballman97 Group Title

$\sqrt{3\sqrt{5}}$

89. KonradZuse Group Title

nope 3/sqrt(5)...

90. Mrfootballman97 Group Title

ohh

91. Mrfootballman97 Group Title

so just:

92. Mrfootballman97 Group Title

|dw:1358110687298:dw|

93. Mrfootballman97 Group Title

or should it have a sqrt sign over the entire thing?

94. KonradZuse Group Title

think about it. sqrt(9)/sqrt(5) is the same thing as sqrt(9/5) sqrt(9) is 3.

95. Mrfootballman97 Group Title

ok thanks. Have a good day

96. KonradZuse Group Title

yup.

97. KonradZuse Group Title

you can also double check everything with a calculator...