steffanie_0831
Divide and simplify if possible.



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steffanie_0831
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dw:1356771183508:dw

LogicalApple
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Combine the square roots so the entire thing is under one big radical. Then simplify what is inside of it.

steffanie_0831
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dw:1356771844627:dw like that?

LogicalApple
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Close, but you need to keep it as a division problem. Take the square root of the entire fraction.

steffanie_0831
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oh gotcha

steffanie_0831
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dw:1356772484638:dw
that right @LogicalApple

LogicalApple
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Yes, good so far! Now see if you can cancel any terms.

steffanie_0831
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dw:1356772604623:dw
that good?

LogicalApple
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Yes. And 250/2 = ?

steffanie_0831
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yes so my final answer is...dw:1356772711906:dw

steffanie_0831
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i ment 125 not 150

LogicalApple
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We can simplify it one step further. 125 = 25 * 5 Thus the square root of (125 x^15) is the same as sqrt(25 * 5 * x^15) = 5 * sqrt(5 x^15). See why?

steffanie_0831
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yeah cause 5^3 is 125 so would it be..

steffanie_0831
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dw:1356772944347:dw

steffanie_0831
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??

LogicalApple
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dw:1356773014133:dw

steffanie_0831
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why 5 on the outside?

LogicalApple
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dw:1356773029033:dw

steffanie_0831
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gotcha

hartnn
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in the same manner
\(\large 5\sqrt{5x^{14}.x}=5\sqrt{x^{14}}\sqrt{5x}=5x^7\sqrt{5x}\)

LogicalApple
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Yes what Goku said !

steffanie_0831
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wait so is it...dw:1356773379140:dw

hartnn
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they both are same, the 1st one is more simplified.

LogicalApple
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What hartnn provided is the simplest (most simplified) version

steffanie_0831
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oh gotcha now i see it thanks