Can you help me? Please

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01-08-2021
Mathematics

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Can you help me? Please

Sagot :

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sqdancefan sqdancefan · Answer 1 · 2021-08-07T17:36:59-04:00

sqdancefan sqdancefan

07-08-2021

9514 1404 393

Answer:

a.

Step-by-step explanation:

For an even-index radical, ...

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

This lets us simplify the given expression as follows:

[tex]\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}}[/tex]

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