anonymous
  • anonymous
Please help me solve? I'm looking at this problem and not seeing how to work it so that my answer comes out looking like the choices...
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[2\sqrt{44x ^{3}}-\sqrt{7}-\sqrt{99x ^{3}}+\sqrt{63}\]
anonymous
  • anonymous
Combine like terms, right? I don't see how to combine \[2\sqrt{44x ^{3}}\] and \[-\sqrt{99x ^{3}}\]
anonymous
  • anonymous
before combining see if you can simplify each term first

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anonymous
  • anonymous
How so...?
anonymous
  • anonymous
Oh! like 11 goes into both 44 and 99??
anonymous
  • anonymous
see if u can get rid of the roots!
anonymous
  • anonymous
How would I go about doing that? Right now I have \[2\sqrt{4x ^{3}}-\sqrt{7}-\sqrt{9x ^{3}}+\sqrt{63}\]
anonymous
  • anonymous
Does it look right? Going in the right direction maybe?
anonymous
  • anonymous
Oh, and I eliminated 7. and the sqrt of 63 is now the sqrt of 9
hartnn
  • hartnn
\(\sqrt {63} = \sqrt {9} \sqrt {7}=...?\)
anonymous
  • anonymous
Now it looks like \[2\sqrt{4x ^{3}}-\sqrt{9x ^{3}}+\sqrt{9}\]
hartnn
  • hartnn
\(\sqrt {44x^3} = \sqrt {4} \sqrt{x^2} \sqrt{11x}=...?\) you just can't eliminate 7...
anonymous
  • anonymous
something is missing
hartnn
  • hartnn
\(\sqrt {44x^3} = \sqrt {4} \sqrt{x^2} \sqrt{11x}=...? \\\sqrt {99x^3} = \sqrt {9} \sqrt{x^2} \sqrt{11x}=...?\)
anonymous
  • anonymous
But & goes into 7 one time and it goes into 63 9 times. Simplifying... Right?
anonymous
  • anonymous
but 7*
hartnn
  • hartnn
so, \(\sqrt {63}-\sqrt 7 = \sqrt{9}\sqrt{7}-\sqrt{7} = \sqrt{7}[3-1]=..?\)
hartnn
  • hartnn
you see what i did there ^ ?
anonymous
  • anonymous
No... :(
anonymous
  • anonymous
@hartnn i see what he did
anonymous
  • anonymous
3x3
hartnn
  • hartnn
\(\sqrt {xy}=\sqrt{x}\sqrt{y}\) ok ? so, \(\sqrt{63}=\sqrt{9}\sqrt{7}=3 \sqrt{7}\) right ?
hartnn
  • hartnn
ask if any doubts.
anonymous
  • anonymous
That does not look like any of my answer choices :(
hartnn
  • hartnn
that was just simplification of constant terms.... \(3\sqrt 7- \sqrt 7= 2 \sqrt 7\) simplification of 'x' terms is still remaining. and more important thing is that you understand....so that you can do other problems on your own...
anonymous
  • anonymous
I have no idea.
hartnn
  • hartnn
so, do you want me to start over ? or take it from a particular step ?
anonymous
  • anonymous
Start from the beginning please?
hartnn
  • hartnn
right, lets see term by term, so 63 is 9 times 7 so, \(\sqrt {63}= \sqrt {9}\sqrt{7}=...?\)
anonymous
  • anonymous
Yes. And what do we do with the \[\sqrt{7}\] just leave it where it is?
hartnn
  • hartnn
i was getting there... you first tell me what will be \(\sqrt 9 \sqrt7 =... ?\)
anonymous
  • anonymous
simplify by dividing both \[\sqrt{7}\] and \[\sqrt{63}\] by 7?
hartnn
  • hartnn
dividing ? why ? no..
anonymous
  • anonymous
Oh... Grrr
hartnn
  • hartnn
lets finish 1 term entirely \(\sqrt {63}=\sqrt 9 \sqrt7 =... ?\)
anonymous
  • anonymous
Yeah. 3.
hartnn
  • hartnn
so, \(\sqrt {63}=\sqrt 9 \sqrt7 =... ?\)
anonymous
  • anonymous
\[\sqrt{3}\] \[\sqrt{2.6}??\]
hartnn
  • hartnn
since \(\sqrt 9=3\) \(\sqrt {63}=\sqrt 9 \sqrt7 =3 \sqrt 7\) got this ?
mathstudent55
  • mathstudent55
|dw:1359950980241:dw|
anonymous
  • anonymous
\[3\sqrt{7}\]
mathstudent55
  • mathstudent55
|dw:1359951141309:dw|
hartnn
  • hartnn
ok, so now you have constant terms as \(3\sqrt 7-\sqrt 7\) can you combine this ? by factoring out \(\sqrt 7 \)
hartnn
  • hartnn
\(3\sqrt 7-\sqrt 7 = \sqrt 7 [3-1]=...?\) ok with this ?
anonymous
  • anonymous
Wait...at the end multiplying \[\sqrt{7}\] by 2?
mathstudent55
  • mathstudent55
|dw:1359951264530:dw|
hartnn
  • hartnn
\(3\sqrt 7-\sqrt 7 = \sqrt 7 [3-1]=2 \sqrt 7\)
anonymous
  • anonymous
So now we have part of it completed?
hartnn
  • hartnn
yes, now take the terms with 'x'.
anonymous
  • anonymous
11 got into both
anonymous
  • anonymous
goes*
hartnn
  • hartnn
so, did you get this ? \(\sqrt {44x^3} = \sqrt {4} \sqrt{x^2} \sqrt{11x}\)
hartnn
  • hartnn
44 = 4*11 x^3 = x*x^2
anonymous
  • anonymous
Why is there no 2?
anonymous
  • anonymous
in front of the \[\sqrt{44x^3}\]
hartnn
  • hartnn
there is 2 .. \(2\sqrt {44x^3} = 2\sqrt {4} \sqrt{x^2} \sqrt{11x}=2 \times 2x \sqrt {11x}= 4x \sqrt{11x}\)
anonymous
  • anonymous
Okay :) \[4x \sqrt{11x}\]
hartnn
  • hartnn
similarly, what will be \(\sqrt {99x^3} = \sqrt {9} \sqrt{x^2} \sqrt{11x}=...?\)
anonymous
  • anonymous
Uh...?
hartnn
  • hartnn
\(\sqrt {99x^3} = \sqrt {9} \sqrt{x^2} \sqrt{11x}=3x\sqrt {11x}\) because \(\sqrt 9=3, \: and \: \sqrt {x^2}=x\)
anonymous
  • anonymous
Oh, I wasn't sure how to break it down. I see what you did now :)
anonymous
  • anonymous
\[x \sqrt{11x}+2\sqrt{7}\] :D
hartnn
  • hartnn
yes. thats correct . i hope you got each step.
anonymous
  • anonymous
Yes! :D Haha thanks
hartnn
  • hartnn
welcome ^_^
anonymous
  • anonymous
this took a lot time :P
anonymous
  • anonymous
I'm slow, sorry xP

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