Question

How do you get rid of the square root sign in `\sqrt { 147m ^ { 3} n ^ { 3} }`?

Answer 1

`(147)^(1/2)m^(3/2)n^(3/2)`

Explanation:

`color(blue)(sqrt(a^(n))=a^(n/2))`

`sqrt(147m^3n^3)=(147)^(1/2)m^(3/2)n^(3/2)`

If you want to simplify:

`=(3*49)^(1/2)m^(3/2)n^(3/2)`

`=7(3)^(1/2)(mn)^(3/2)`