1. narissa

2. anonymous

umm, between ten and nine for sure, fraid i cant help u more...

3. narissa

im confused

4. narissa

do any of u know this

5. anonymous

We need to find square's in the number 96. So first start dividing it by 2, until you cannot any longer. I'll do the first two for you:$96 = 2 \times 48 = 2 \times 2 \times 24 = 2^2 \times 24$

6. anonymous

Does this make sense how to do the problem?

7. narissa

im confused

8. anonymous

9. anonymous

Where are you confused?

10. narissa

ok after that what do i do

11. anonymous

keep doing that as many times as you can. right now we're just ignoring the fact that ALL OF THIS is still under the squareroot. Okay?

12. narissa

k so do 2*2

13. anonymous

Yes, we're trying to find how many 2*2's we need to get to equal 96.

14. narissa

53 or no?

15. anonymous

so right now, what we have is this $\sqrt{2^2 \times 24} =\sqrt{96}$

16. narissa

ok i dont understand that so it 28

17. narissa

i cant use a calcu8lator?

18. anonymous

You could but 1)you're not suppose to, 2)you wont learn how to do this.

19. anonymous

also, neither of those answers are correct.

20. narissa

ok

21. anonymous

Maybe a better way of saying this is, 2 * what equals 96?

22. narissa

its hard!!!!!

23. anonymous

I know it is. But i know you can do it!

24. narissa

k

25. narissa

my computer keeps freezing

26. narissa

@suckerofmath

27. anonymous

No one is just going to give you the answer. Tell me how you're confused or where you need help and I can help you.

28. narissa

im trying to do it

29. anonymous

So lets first figure this out. 2*what = 96?

30. narissa

53

31. anonymous

nope

32. narissa

oops 48

33. narissa

2*48 is 96

34. anonymous

great! absolutely correct

35. anonymous

now 2*what = 48?

36. narissa

whats next

37. narissa

24

38. anonymous

we need to figure out 2*what = 48

39. anonymous

I guess that last message didn't go through

40. anonymous

Great, thats correct. so lets gather up what we have okay?

41. narissa

os is lagging

42. narissa

24

43. anonymous

$\sqrt{96} = \sqrt{2 \times 48} = \sqrt{2 \times 2 \times 24} = \sqrt{2^2 \times 24}$

44. anonymous

Ya this is lagging a lot for me too. sorry Would you say that the equation i just posted is true?

45. narissa

yes

46. narissa

so?

47. anonymous

GREAT!!

48. narissa

next

49. anonymous

So lets keep going. Ignoring that we already have one square, the 2squared, 2*what=24?

50. anonymous

51. narissa

12

52. narissa

im not this thing is lagging

53. anonymous

correct, 12. Now 2*what = 12?

54. narissa

6

55. narissa

3

56. anonymous

correct. I'll do the last one. 2*3=6. BUT we don't need that one. we'll just keep the 6 as is.

57. anonymous

So lets gather up everything we have okay?

58. narissa

then 1.5 is that the answer

59. narissa

ok

60. anonymous

Remember we're trying to find squares which are two of the same numbers multiplied by eachother.

61. anonymous

$\sqrt{2^2 * 24} = \sqrt{2^2 * 2 *12}=\sqrt{2^2 *2 *2 *6}=\sqrt{2^2*2^2*6}$ Do you agree that this is correct?

62. anonymous

Most importantly, do you under stand everything so far?

63. narissa

yes

64. anonymous

Great So with squares and squareroots... do you know that the square undoes the squareroot and the squareroot undoes the square?

65. narissa

k

66. anonymous

example: $\sqrt{2^2}=2 \ OR\ (\sqrt{2})^2 =2$

67. narissa

k

68. anonymous

Did you know that or is this something new to you?

69. narissa

new

70. narissa

sorry im not smart im in a special class for math and reading

71. anonymous

Okay, it's an important thing to remember. Besure to ask your teacher about it next time you see her/him

72. anonymous

It's okay. YOU ARE SMART. Everyone starts at the beginning. You're not stupid because you're in low level math. Okay???

73. narissa

k

74. anonymous

The other thing that is nice to know is that you can split up squareroots using multiplication okay? for example$\sqrt{18}=\sqrt{2*9}=\sqrt{2}*\sqrt{9}$

75. anonymous

Does this make sense?

76. narissa

k yes

77. narissa

this is my last problem then i need the other 4 checked as i did them on my own

78. anonymous

great! Now it's your turn to show me what to do next. Use the equation button down below to solve the problem okay? This is what we came up with. $\sqrt{2^2 * 2^2 * 6}$ From what i just taught you, what parts of this can you solve??

79. narissa

do i just multiply them all then find the square root of that

80. anonymous

start by separating them into their own square roots.

81. narissa

4*4=16 then 16*6=96

82. narissa

i dont even know

83. anonymous

The whole point of what we did is to figure out what the square root of 96 is, if we multiply everything then we just start back at the beginning.

84. anonymous

Okay, i'll do one for you okay? THen you do the rest.

85. narissa

2*2*3?

86. anonymous

$\sqrt{2^2*2^2*6} = \sqrt{2^2}*\sqrt{2^2*6}$

87. narissa

16*6=4*24?

88. anonymous

No, thats not it.

89. narissa

am i doing it right i dont know

90. anonymous

Okay i'll show you the next step. $\sqrt{2^2}*\sqrt{2^2}*\sqrt{6}$

91. narissa

4*4*6=4*4*6

92. narissa

do i multiply them?

93. anonymous

the square root of 6 is not a square. Think of a real square. can you draw 6 cubes such that it makes a square?

94. narissa

its 3

95. anonymous

why are you taking 6 out of the square root? Also 2^2 is 4. but remember what i said about how the squareroot undoes the square? remember that?

96. narissa

is it 2*2*3

97. anonymous

no the squareroot of 6 is not 3. it's not an easy answer.

98. narissa

this is hard

99. anonymous

You almost have it!

100. narissa

4*4 then i dont know the 6

101. anonymous

it should be 2*2*....what?

102. narissa

4

103. narissa

oops 6

104. anonymous

nope. it's $2 \times 2 \times \sqrt{6}$

105. anonymous

Does that make sense?

106. narissa

k what the square root of 6 i thought its 3 but u keep saying no

107. narissa

it does but the 6 is confusing me

108. anonymous

Lets draw something okay? draw 4 cubes, such that it makes one large cube. okay?

109. narissa

so its four

110. anonymous

|dw:1432926276085:dw|

111. anonymous

right. do you see how the cube is 2 by 2 cubes? 2 cubes long by 2 cubes tall? That's a perfect square. AKA 2^2

112. narissa

k

113. anonymous

So can we draw 6 cubes that make a perfect square?

114. narissa

k so its 2 * 2* what?

115. anonymous

$\sqrt{6}$

116. anonymous

For this part, you can use your calculator to tell you what the square root of 6 is. 2*2=4 so you have $4\sqrt{6}$

117. anonymous

the last step is for you to multiple 4 by whatever your calculator gives you for the squareroot of 6

118. narissa

2.4

119. narissa

4*2.4 is 9.6

120. anonymous

GOOD JOB!!!! YEY. Does all of this make more sense now?

121. narissa

so rounded its 10 or 9.7?

122. narissa

yes its hard though

123. narissa

is it 10 or 9.7

124. anonymous

Nope. Your question actually wants it to the nearest hundredth. That is two decimals. so you need the squareroot of 6 to = 2.44. make sense?

125. anonymous

now multiply that by 4