Question

simplify. assume that all variables represent positive real numbers.
$-sqrt{396x^{6}y^{15}}$
$-sqrt{396x^{6}y^{15}} = -6sqrt{11x^{3}}$
(type an exact answer, using radicals as needed.)

Explanation:

Step1: Factor radicand into squares

$-\sqrt{36 \times 11 \times x^6 \times y^{14} \times y}$

Step2: Extract square roots of squares

$- \sqrt{36} \times \sqrt{x^6} \times \sqrt{y^{14}} \times \sqrt{11y}$

Step3: Simplify extracted terms

$-6x^3y^7\sqrt{11y}$

Answer:

$-6x^3y^7\sqrt{11y}$