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Simplify assume x and y are positive detailed step by step

Simplify assume x and y are positive detailed step by step-example-1

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We have the next expression


\sqrt[]{27x^8y^5}

And we must simplify it.

1. we must distribute the root for all terms


=\sqrt[]{27}\sqrt[]{x^8}\sqrt[]{y^5}

2. We must simplify √x^8 as x^4


=\sqrt[]{27}x^4\sqrt[]{y^5}

3. We must simplify √y^5 as y^2√y


=\sqrt[]{27}x^4y^2\sqrt[]{y}

4. We must simplify √27 as 3√3


=3\sqrt[]{3}x^4y^2\sqrt[]{y}

ANSWER:


\sqrt[]{27x^8y^5}=3\sqrt[]{3}x^4y^2\sqrt[]{y}

User Ernesto Badillo
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