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3 years ago

Math question please help

Mathematics

1 answer:

Digiron [165]3 years ago

5 0

OptionC is the answer!!!
Hope this helps you!!!

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Select the correct answer.<br> Simplify the expression.

gregori [183]

Answer:

Option D :- $\sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }$

Step-by-step explanation:

$\sf \: 3x\sqrt[3]{648 {x}^{4} {y}^{8} }$

transform the equation

$\rightarrow \sf \: 3x\sqrt[3]{ {6}^{3} \times {3x}^{2} \times {xy}^{6} \times {y}^{2} }$

rewrite the expression

$\rightarrow \sf \: 3x \times \sqrt[3]{ {6}^{3}} \times\sqrt[3]{ {3x}^{2}} \times \sqrt[3]{ {xy}^{6} } \times \sqrt[3]{{y}^{2} }$

Simplify the radical expression

$\rightarrow \sf \: 3x \times {6xy}^{2} \sqrt[3]{3xy {}^{2} }$

Multiply

$\sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }$

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2 years ago