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Answer 1 · 2017-06-16T05:52:46

$6a^3b^2sqrt(b)$

Rewrite as a single problem under a single square root

$=sqrt(12a^5b3ab^4)$

Rearrange the terms so that like terms are next to each other

$=sqrt(12*3*a^5*a*b*b^4)$

When two exponents with the same base are multiplied, add the exponents under a single base

$=sqrt(36*a^(5+1)*b^(1+4))$

$=sqrt(36*a^6*b^5)$

An exponent has an exact square root as long as it's divisible by $2$

$=6a^3sqrt(b^4b^1)$

$=6x^3b^2sqrtb$