How would you simplify sqrt(12*a^3*b^4)?

Feb 26, 2016

= 2a bsqrt( 3 a b^2

Explanation:

sqrt( 12 * a^3 * b^4

(note: $12$ is prime factorised)

= sqrt( color(blue)(2^2) * 3 * color(blue)(a^2) * a * color(blue)(b^2) * b^2

= color(blue)(2* a * b) sqrt( 3 * a * b^2

= 2a bsqrt( 3 * a * b^2