Simplify.Remove all perfect squares from inside the square root.square root 112a^6

Answer:4√7*a^3Step-by-step explanation:a^6 is the same as (a^3)^2.  If we take the square root of this latter expression, the result will be a^3.112 can be factored as follows:  2 * 56                                                      2 * 7 * 8                                                      2 * 7 * 2 * 4, or 7 4^2Taking the square root of this last result yields 4√7.Thus, √ (112a^6) = 4√7*a^3