Question

Simplify the expression

Answer 1

Here we have:

$\sqrt{{12x^6}y^{12}}$

factorising 12, we have 12=2*2*3

√12= 2√3 .............(1)

factorising x⁶, we have x⁶ = x*x*x*x*x*x

√x⁶ = x³............(2)

factorising y¹², we have y¹² = y*y*y*y*y*y*y*y*y*y*y*y

√y¹² = y⁶...............(3)

combining (1), (2) and (3) , we have

$\sqrt{{12x^6}y^{12}}$ = 2x³y⁶√3