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Mathematics 19 Online
OpenStudy (narissa):

please help

OpenStudy (narissa):

OpenStudy (anonymous):

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

OpenStudy (narissa):

im confused

OpenStudy (narissa):

do any of u know this

OpenStudy (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:\[96 = 2 \times 48 = 2 \times 2 \times 24 = 2^2 \times 24\]

OpenStudy (anonymous):

Does this make sense how to do the problem?

OpenStudy (narissa):

im confused

OpenStudy (anonymous):

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

OpenStudy (anonymous):

Where are you confused?

OpenStudy (narissa):

ok after that what do i do

OpenStudy (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?

OpenStudy (narissa):

k so do 2*2

OpenStudy (anonymous):

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

OpenStudy (narissa):

53 or no?

OpenStudy (anonymous):

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

OpenStudy (narissa):

ok i dont understand that so it 28

OpenStudy (narissa):

i cant use a calcu8lator?

OpenStudy (anonymous):

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

OpenStudy (anonymous):

also, neither of those answers are correct.

OpenStudy (narissa):

ok

OpenStudy (anonymous):

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

OpenStudy (narissa):

its hard!!!!!

OpenStudy (anonymous):

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

OpenStudy (narissa):

k

OpenStudy (narissa):

my computer keeps freezing

OpenStudy (narissa):

@suckerofmath

OpenStudy (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.

OpenStudy (narissa):

im trying to do it

OpenStudy (anonymous):

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

OpenStudy (narissa):

53

OpenStudy (anonymous):

nope

OpenStudy (narissa):

oops 48

OpenStudy (narissa):

2*48 is 96

OpenStudy (anonymous):

great! absolutely correct

OpenStudy (anonymous):

now 2*what = 48?

OpenStudy (narissa):

whats next

OpenStudy (narissa):

24

OpenStudy (anonymous):

we need to figure out 2*what = 48

OpenStudy (anonymous):

I guess that last message didn't go through

OpenStudy (anonymous):

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

OpenStudy (narissa):

os is lagging

OpenStudy (narissa):

24

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (narissa):

yes

OpenStudy (narissa):

so?

OpenStudy (anonymous):

GREAT!!

OpenStudy (narissa):

next

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (narissa):

12

OpenStudy (narissa):

im not this thing is lagging

OpenStudy (anonymous):

correct, 12. Now 2*what = 12?

OpenStudy (narissa):

6

OpenStudy (narissa):

3

OpenStudy (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.

OpenStudy (anonymous):

So lets gather up everything we have okay?

OpenStudy (narissa):

then 1.5 is that the answer

OpenStudy (narissa):

ok

OpenStudy (anonymous):

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

OpenStudy (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?

OpenStudy (anonymous):

Most importantly, do you under stand everything so far?

OpenStudy (narissa):

yes

OpenStudy (anonymous):

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

OpenStudy (narissa):

k

OpenStudy (anonymous):

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

OpenStudy (narissa):

k

OpenStudy (anonymous):

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

OpenStudy (narissa):

new

OpenStudy (narissa):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (narissa):

k

OpenStudy (anonymous):

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

OpenStudy (anonymous):

Does this make sense?

OpenStudy (narissa):

k yes

OpenStudy (narissa):

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

OpenStudy (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??

OpenStudy (narissa):

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

OpenStudy (anonymous):

start by separating them into their own square roots.

OpenStudy (narissa):

4*4=16 then 16*6=96

OpenStudy (narissa):

i dont even know

OpenStudy (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.

OpenStudy (anonymous):

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

OpenStudy (narissa):

2*2*3?

OpenStudy (anonymous):

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

OpenStudy (narissa):

16*6=4*24?

OpenStudy (anonymous):

No, thats not it.

OpenStudy (narissa):

am i doing it right i dont know

OpenStudy (anonymous):

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

OpenStudy (narissa):

4*4*6=4*4*6

OpenStudy (narissa):

do i multiply them?

OpenStudy (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?

OpenStudy (narissa):

its 3

OpenStudy (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?

OpenStudy (narissa):

is it 2*2*3

OpenStudy (anonymous):

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

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