Question #fcbc9

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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#