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Can you help me? Please

Can you help me? Please-example-1
User Samuelnj
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1 Answer

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9514 1404 393

Answer:

a.

Explanation:

For an even-index radical, ...


\sqrt[n]{x^n}=|x|\qquad\text{n even}

This lets us simplify the given expression as follows:


\sqrt[4]{81x^6y^4}-|y|\sqrt[4]{x^6}-\sqrt[4]{16x^2}=\sqrt[4]{(3xy)^4x^2}-|y|\sqrt[4]{x^4x^2}-\sqrt[4]{2^4x^2}\\\\=3|xy|\sqrt[4]{x^2}-|xy|\sqrt[4]{x^2}-2\sqrt[4]{x^2}=\boxed{2|xy|\sqrt[4]{x^2}-2\sqrt[4]{x^2}}

User Pablo Herrero
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