Question

Simplify. 7√50x^15y^21 Assume x and y are nonnegative.

Answer 1

Given expression is $7 \sqrt{50x^{15}y^{21}}$ where x and y are non negative.

Now we have to simplify this to find the correct matching choice.

$7 \sqrt{50x^{15}y^{21}}$

$=7 \sqrt{25*2x^{15}y^{21}}$

$=7 \sqrt{25*2x^{14}*xy^{20}*y}$

$=7*5x^{7}y^{10} \sqrt{2*x*y}$

$=35x^{7}y^{10} \sqrt{2xy}$

Which best matches with choice D.

Hence final answer is $35x^{7}y^{10} \sqrt{2xy}$ .