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

1 Answer
Aug 3, 2018

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)