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Misha Larkins [42]
3 years ago
10

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

Mathematics
1 answer:
sattari [20]3 years ago
7 0

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} .

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