narissa
  • narissa
please help
Mathematics
katieb
  • katieb
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narissa
  • narissa
1 Attachment
anonymous
  • anonymous
umm, between ten and nine for sure, fraid i cant help u more...
narissa
  • narissa
im confused

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narissa
  • narissa
do any of u know this
anonymous
  • 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
  • anonymous
Does this make sense how to do the problem?
narissa
  • narissa
im confused
anonymous
  • anonymous
No, 96 is not the answer. I am trying to help you understand how to GET the answer.
anonymous
  • anonymous
Where are you confused?
narissa
  • narissa
ok after that what do i do
anonymous
  • 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
  • narissa
k so do 2*2
anonymous
  • anonymous
Yes, we're trying to find how many 2*2's we need to get to equal 96.
narissa
  • narissa
53 or no?
anonymous
  • anonymous
so right now, what we have is this \[\sqrt{2^2 \times 24} =\sqrt{96}\]
narissa
  • narissa
ok i dont understand that so it 28
narissa
  • narissa
i cant use a calcu8lator?
anonymous
  • anonymous
You could but 1)you're not suppose to, 2)you wont learn how to do this.
anonymous
  • anonymous
also, neither of those answers are correct.
narissa
  • narissa
ok
anonymous
  • anonymous
Maybe a better way of saying this is, 2 * what equals 96?
narissa
  • narissa
its hard!!!!!
anonymous
  • anonymous
I know it is. But i know you can do it!
narissa
  • narissa
k
narissa
  • narissa
my computer keeps freezing
narissa
  • narissa
anonymous
  • 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
  • narissa
im trying to do it
anonymous
  • anonymous
So lets first figure this out. 2*what = 96?
narissa
  • narissa
53
anonymous
  • anonymous
nope
narissa
  • narissa
oops 48
narissa
  • narissa
2*48 is 96
anonymous
  • anonymous
great! absolutely correct
anonymous
  • anonymous
now 2*what = 48?
narissa
  • narissa
whats next
narissa
  • narissa
24
anonymous
  • anonymous
we need to figure out 2*what = 48
anonymous
  • anonymous
I guess that last message didn't go through
anonymous
  • anonymous
Great, thats correct. so lets gather up what we have okay?
narissa
  • narissa
os is lagging
narissa
  • narissa
24
anonymous
  • anonymous
\[\sqrt{96} = \sqrt{2 \times 48} = \sqrt{2 \times 2 \times 24} = \sqrt{2^2 \times 24}\]
anonymous
  • anonymous
Ya this is lagging a lot for me too. sorry Would you say that the equation i just posted is true?
narissa
  • narissa
yes
narissa
  • narissa
so?
anonymous
  • anonymous
GREAT!!
narissa
  • narissa
next
anonymous
  • anonymous
So lets keep going. Ignoring that we already have one square, the 2squared, 2*what=24?
anonymous
  • anonymous
Hey don't push me. i'm trying to help you.
narissa
  • narissa
12
narissa
  • narissa
im not this thing is lagging
anonymous
  • anonymous
correct, 12. Now 2*what = 12?
narissa
  • narissa
6
narissa
  • narissa
3
anonymous
  • 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
  • anonymous
So lets gather up everything we have okay?
narissa
  • narissa
then 1.5 is that the answer
narissa
  • narissa
ok
anonymous
  • anonymous
Remember we're trying to find squares which are two of the same numbers multiplied by eachother.
anonymous
  • 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
  • anonymous
Most importantly, do you under stand everything so far?
narissa
  • narissa
yes
anonymous
  • anonymous
Great So with squares and squareroots... do you know that the square undoes the squareroot and the squareroot undoes the square?
narissa
  • narissa
k
anonymous
  • anonymous
example: \[\sqrt{2^2}=2 \ OR\ (\sqrt{2})^2 =2\]
narissa
  • narissa
k
anonymous
  • anonymous
Did you know that or is this something new to you?
narissa
  • narissa
new
narissa
  • narissa
sorry im not smart im in a special class for math and reading
anonymous
  • anonymous
Okay, it's an important thing to remember. Besure to ask your teacher about it next time you see her/him
anonymous
  • 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
  • narissa
k
anonymous
  • 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
  • anonymous
Does this make sense?
narissa
  • narissa
k yes
narissa
  • narissa
this is my last problem then i need the other 4 checked as i did them on my own
anonymous
  • 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
  • narissa
do i just multiply them all then find the square root of that
anonymous
  • anonymous
start by separating them into their own square roots.
narissa
  • narissa
4*4=16 then 16*6=96
narissa
  • narissa
i dont even know
anonymous
  • 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
  • anonymous
Okay, i'll do one for you okay? THen you do the rest.
narissa
  • narissa
2*2*3?
anonymous
  • anonymous
\[\sqrt{2^2*2^2*6} = \sqrt{2^2}*\sqrt{2^2*6}\]
narissa
  • narissa
16*6=4*24?
anonymous
  • anonymous
No, thats not it.
narissa
  • narissa
am i doing it right i dont know
anonymous
  • anonymous
Okay i'll show you the next step. \[\sqrt{2^2}*\sqrt{2^2}*\sqrt{6}\]
narissa
  • narissa
4*4*6=4*4*6
narissa
  • narissa
do i multiply them?
anonymous
  • 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
  • narissa
its 3
anonymous
  • 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
  • narissa
is it 2*2*3
anonymous
  • anonymous
no the squareroot of 6 is not 3. it's not an easy answer.
narissa
  • narissa
this is hard
anonymous
  • anonymous
You almost have it!
narissa
  • narissa
4*4 then i dont know the 6
anonymous
  • anonymous
it should be 2*2*....what?
narissa
  • narissa
4
narissa
  • narissa
oops 6
anonymous
  • anonymous
nope. it's \[2 \times 2 \times \sqrt{6}\]
anonymous
  • anonymous
Does that make sense?
narissa
  • narissa
k what the square root of 6 i thought its 3 but u keep saying no
narissa
  • narissa
it does but the 6 is confusing me
anonymous
  • anonymous
Lets draw something okay? draw 4 cubes, such that it makes one large cube. okay?
narissa
  • narissa
so its four
anonymous
  • anonymous
|dw:1432926276085:dw|
anonymous
  • 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
  • narissa
k
anonymous
  • anonymous
So can we draw 6 cubes that make a perfect square?
narissa
  • narissa
k so its 2 * 2* what?
anonymous
  • anonymous
\[\sqrt{6}\]
anonymous
  • 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
  • anonymous
the last step is for you to multiple 4 by whatever your calculator gives you for the squareroot of 6
narissa
  • narissa
2.4
narissa
  • narissa
4*2.4 is 9.6
anonymous
  • anonymous
GOOD JOB!!!! YEY. Does all of this make more sense now?
narissa
  • narissa
so rounded its 10 or 9.7?
narissa
  • narissa
yes its hard though
narissa
  • narissa
is it 10 or 9.7
anonymous
  • 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
  • anonymous
now multiply that by 4

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