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Simplify: V36m 14 where m > 0, n > 0

Simplify: V36m 14 where m > 0, n > 0-example-1
User Myzifer
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1 Answer

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10 votes

Given:


\sqrt[4]{36m^8n^4}

Simplify the inequality.

Sol:.


\begin{gathered} =\sqrt[4]{36m^8n^4} \\ =(36m^8n^4)^{(1)/(4)} \\ =(36)^{(1)/(4)}(m)^{(8)/(4)}n^{(4)/(4)} \\ =(6)^{(2)/(4)}m^2n \\ =6^{(1)/(2)}m^2n \\ =m^2n\sqrt[]{6} \end{gathered}

User Emile Vrijdags
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