please help

- narissa

please help

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- narissa

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- anonymous

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

- narissa

im confused

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## More answers

- narissa

do any of u know this

- 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:\[96 = 2 \times 48 = 2 \times 2 \times 24 = 2^2 \times 24\]

- anonymous

Does this make sense how to do the problem?

- narissa

im confused

- anonymous

No, 96 is not the answer. I am trying to help you understand how to GET the answer.

- anonymous

Where are you confused?

- narissa

ok after that what do i do

- 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?

- narissa

k so do 2*2

- anonymous

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

- narissa

53 or no?

- anonymous

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

- narissa

ok i dont understand that so it 28

- narissa

i cant use a calcu8lator?

- anonymous

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

- anonymous

also, neither of those answers are correct.

- narissa

ok

- anonymous

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

- narissa

its hard!!!!!

- anonymous

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

- narissa

k

- narissa

my computer keeps freezing

- narissa

@suckerofmath

- 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.

- narissa

im trying to do it

- anonymous

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

- narissa

53

- anonymous

nope

- narissa

oops 48

- narissa

2*48 is 96

- anonymous

great! absolutely correct

- anonymous

now 2*what = 48?

- narissa

whats next

- narissa

24

- anonymous

we need to figure out 2*what = 48

- anonymous

I guess that last message didn't go through

- anonymous

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

- narissa

os is lagging

- narissa

24

- anonymous

\[\sqrt{96} = \sqrt{2 \times 48} = \sqrt{2 \times 2 \times 24} = \sqrt{2^2 \times 24}\]

- anonymous

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

- narissa

yes

- narissa

so?

- anonymous

GREAT!!

- narissa

next

- anonymous

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

- anonymous

Hey don't push me. i'm trying to help you.

- narissa

12

- narissa

im not this thing is lagging

- anonymous

correct, 12. Now 2*what = 12?

- narissa

6

- narissa

3

- 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.

- anonymous

So lets gather up everything we have okay?

- narissa

then 1.5 is that the answer

- narissa

ok

- anonymous

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

- 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?

- anonymous

Most importantly, do you under stand everything so far?

- narissa

yes

- anonymous

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

- narissa

k

- anonymous

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

- narissa

k

- anonymous

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

- narissa

new

- narissa

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

- anonymous

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

- anonymous

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

- narissa

k

- anonymous

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

- anonymous

Does this make sense?

- narissa

k yes

- narissa

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

- 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??

- narissa

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

- anonymous

start by separating them into their own square roots.

- narissa

4*4=16 then 16*6=96

- narissa

i dont even know

- 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.

- anonymous

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

- narissa

2*2*3?

- anonymous

\[\sqrt{2^2*2^2*6} = \sqrt{2^2}*\sqrt{2^2*6}\]

- narissa

16*6=4*24?

- anonymous

No, thats not it.

- narissa

am i doing it right i dont know

- anonymous

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

- narissa

4*4*6=4*4*6

- narissa

do i multiply them?

- 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?

- narissa

its 3

- 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?

- narissa

is it 2*2*3

- anonymous

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

- narissa

this is hard

- anonymous

You almost have it!

- narissa

4*4 then i dont know the 6

- anonymous

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

- narissa

4

- narissa

oops 6

- anonymous

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

- anonymous

Does that make sense?

- narissa

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

- narissa

it does but the 6 is confusing me

- anonymous

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

- narissa

so its four

- anonymous

|dw:1432926276085:dw|

- 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

- narissa

k

- anonymous

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

- narissa

k so its 2 * 2* what?

- anonymous

\[\sqrt{6}\]

- 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 \[4\sqrt{6}\]

- anonymous

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

- narissa

2.4

- narissa

4*2.4 is 9.6

- anonymous

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

- narissa

so rounded its 10 or 9.7?

- narissa

yes its hard though

- narissa

is it 10 or 9.7

- 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?

- anonymous

now multiply that by 4

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