What is the square root of the number $676$.

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Solution

Prime factorisation of $676$ is
$\begin{array}{c|c} 2 & 676 \\ \hline 2 & 338 \\ \hline 13 & 169 \\\hline 13 & 13 \\\hline & 1 \end{array}\\$
$676=2\times2\times13\times13$
$\sqrt{676}=\sqrt{2\times2\times13\times13}=2\times13 = 26$
The square root of $676$ is $26. $

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