SOLUTION: I am trying to solve this problem: a^5 bc^3 _________ {{{ sqrt(a^4b^5c)}}} I am thinking that I should multiply the {{{ sqrt(a^4b^5c)}}} on top and bottom. but I don't kn

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Question 993813: I am trying to solve this problem:
a^5 bc^3
_________

I am thinking that I should multiply the on top and bottom. but I don't know. Can you help me?

Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
note that square root(a^4b^5c) times square root(a^4b^5c) = (a^4b^5c)
also square root(a^4b^5c) = a^2b^2square root(bc)
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now we multiply numerator and denominator by square root(a^4b^5c)
(a^5 bc^3) / square root(a^4b^5c) * square root(a^4b^5c) / square root(a^4b^5c) =
( (a^5 bc^3) * a^2b^2square root(bc) ) / (a^4b^5c) =
( (a^7b^3c^3square root(bc) ) / (a^4b^5c) =
( (a^3c^2square root(bc) / b^2 )

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