Question

find (sqrt{591x^{15}y^{3}} cdot sqrt{591x^{15}y^{3}}) without calculating or simplifying.
(sqrt{591x^{15}y^{3}} cdot sqrt{591x^{15}y^{3}} = square)
(simplify your answer.)

Explanation:

Step1: Apply square root product rule

Recall that $\sqrt{a} \cdot \sqrt{a} = a$ for non-negative $a$.
Here, $a = 591x^{15}y^3$, so $\sqrt{591x^{15}y^3} \cdot \sqrt{591x^{15}y^3} = 591x^{15}y^3$

Answer:

$591x^{15}y^3$