Answer
$w=18$
Work Step by Step
You are given $\sqrt {w-2}=4$. Solve for w:
$\sqrt {w-2}=4$
$\sqrt {(w-2)^2} = {4}^{2}$
$w-2=16$
$w=18$
Check solution:
$\sqrt {18-2}=4$
$\sqrt {16}=4$
$4=4$
The solution is $w=18$.
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