Question

Simplify 24x5 y6 . A) 2x2 y3 6x B) 4x2 y3 6x C) 6x2 y3 4x D) 6x2 y3 2x

Answer 1

Answer : A $2x^2y^3\sqrt{6x}$

$\sqrt{ 24x^5y^6}$

Take square root for each term and simplify it

$\sqrt{24} *\sqrt{x^5} *\sqrt{y^6}$

$\sqrt{24}=\sqrt{4 * 6} = 2\sqrt{6}$

$\sqrt{x^5} = x^2\sqrt{x}$

$\sqrt{y^6} = y^3$

so we will get

$2\sqrt{6} * x^2\sqrt{x} * y^3$

$2x^2y^3\sqrt{6x}$