# How do you simplify sqrt(28a^3b^2)?

May 27, 2016

= 2ab sqrt(7a

#### Explanation:

sqrt(28a^3b^2

Prime factorising $28$ (expressing a number as a product of its prime factors):

28 = color(green)( 2 * 2 * 7

= sqrt( color(green)(2 * 2 * 7) * a^3b^2

= sqrt( color(green)(2 ^2 * 7) * color(blue)(a^2) * a * color(blue)( b^2

= 2 * color(blue)(a * b) sqrt( color(green)( 7) * a

= 2ab sqrt(7a