Question

How do you simplify `2 sqrt(8n^6m^5)`?

Answer 1

`color(blue)(=> sqrt(2^5 n^6 m^5) = 4n^3 m^2 sqrt(2m)`

Explanation:

`2 sqrt(8 n^6 m^5)`

`=> 2 * (2^3 n^6 m^5)^(1/2)`

`=> 2^(1 + 3/2) * n^(6/2) * m^(5/2)`

`=> 2^(5/2) * n^(6/2) * m^(5/2)`

`color(blue)(=> sqrt(2^5 n^6 m^5) = 4n^3 m^2 sqrt(2m)`