Question

√
$\sqrt{256}$
​

Answer 1

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${\begin{array}{c|l}\sf256&\sf2\\\sf128&\sf2\\\sf64&\sf2\\\sf32&\sf2\\\sf16&\sf2\\\sf8&\sf2\\\sf4&\sf2\\\sf2&\sf2\\\sf1\end{array}$

$\Large\boxed{\begin{array}{l}\sf\sqrt{256}=\sqrt{2^8}=\sqrt{(2^4)^{\diagdown\!\!\!2}}\\\sf=2^4=16\end{array}}$