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

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asked Mar 6, 2023 20.3k views

4 votes

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

Mathematics
college

MePengusta asked

by MePengusta

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1 Answer

5 votes

Given:

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

Simplify the inequality.

Sol:.

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

Mujeeb Ishaque answered Mar 11, 2023

by Mujeeb Ishaque

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