# Solve \sqrt[4]{m+4}-5=-2

Solve $\sqrt[4]{m+4}-5=-2$

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Simone Ali

$\sqrt[4]{m+4}-5=-2$
$\sqrt[4]{m+4}=-2+5$
$\sqrt[4]{m+4}=3$
Take 4th power
${\left({\left(m+4\right)}^{\frac{1}{4}}\right)}^{4}={3}^{4}$
$m+4=81$
Subtract 4 on both sides
$m=81-4$
$m=77$
Substitute $m=77$ in the given equation
${\left(77+4\right)}^{\frac{1}{4}}-5=-2$
${\left(81\right)}^{\frac{1}{4}}-5=-2$
${\left({3}^{4}\right)}^{\frac{1}{4}}-5=-2$
$3-5=-2$
thus, the answer is $m=77$