How do you evaluate #\sqrt[3]w\times \sqrt[2]w#?

1 Answer
Alan P.
Sep 13, 2017

#sqrt(3)wxxsqrt(2)w=color(red)(sqrt(6)w^2)#

Explanation:

#sqrt(3)wxxsqrt(2)w#

#color(white)("XXX")=sqrt(3)xxwxxsqrt(2)xxw#

#color(white)("XXX")=sqrt(3)xxsqrt(2)xxwxxw#

#color(white)("XXX")=sqrt(6) xx w^2color(white)("xxxxxx")#Note that in general #sqrt(a)xxsqrt(b)=sqrt(axxb)#

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