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44 votes
44 votes
Select the correct answer.
Simplify the expression.

Select the correct answer. Simplify the expression.-example-1
User OnklMaps
by
2.9k points

2 Answers

19 votes
19 votes

Answer: Option D :-

Explanation:

transform the equation

rewrite the expression

Simplify the radical expression

Multiply

Explanation:

User Mike Trusov
by
3.1k points
10 votes
10 votes

Answer:

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

Explanation:


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

transform the equation


\rightarrow \sf \: 3x\sqrt[3]{ {6}^(3) * {3x}^(2) * {xy}^(6) * {y}^(2) }

rewrite the expression


\rightarrow \sf \: 3x * \sqrt[3]{ {6}^(3)} *\sqrt[3]{ {3x}^(2)} * \sqrt[3]{ {xy}^(6) } * \sqrt[3]{{y}^(2) }

Simplify the radical expression


\rightarrow \sf \: 3x * {6xy}^(2) \sqrt[3]{3xy {}^(2) }

Multiply


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

User BlazingFrog
by
2.8k points
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