Divide and Simplify

Question

Divide and simplify the following fraction

√144a^4 ⁄ √3a^2

Answer 1

sq root 144a^4/sq root 3a^2 = 12a^2/ (a) (sq root 3)= 12a/ sq root 3

Since we have a sq root in the denominator we will rationalize by multiplying the expression by (sq root 3/sq root 3) so we get

(12a) (sq root 3)/3 = (4a) sq root 3

Answer 2

√144a⁴/3a² = √48a² = √16(3a²) = 4a√3