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Question 27759: could i get some help with this please??
sqrt (75a^2b^3c)
Answer by sdmmadam@yahoo.com(530)   (Show Source):
You can put this solution on YOUR website! sqrt (75a^2b^3c)
sqrt (75a^2b^3c)
=(75a^2b^3c)^(1/2)
= [{3X(5^2)}^(1/2)][(a^2)^(1/2)][(b^3)^(1/2)][(c)^(1/2)]
using (abcd)^m = [(a)^m][(b)^m][(c)^m][(d)^m]
=[3^(1/2)X5]X(a)X[(b)^(3/2)][c^(1/2)]
=5a[3^(1/2)][c^(1/2)][(b)^(3/2)]
Verification: Since our answer is the square root of the given quantity, if we square our answer then it should be the given quantity.
Therefore {5a[3^(1/2)][c^(1/2)][(b)^(3/2)]} squared
= 25 X (a^2) X (3) X (c) X (b^3)
= 75 a^2b^3c
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