Evaluate: sqrt(147 (4)/(7))

Expression: $\sqrt{ 147 \frac{ 4 }{ 7 } }$

Convert the mixed number to an improper fraction

$\sqrt{ \frac{ 1033 }{ 7 } }$

To take a root of a fraction, take the root of the numerator and denominator separately

$\frac{ \sqrt{ 1033 } }{ \sqrt{ 7 } }$

Rationalize the denominator

$\begin{align*}&\frac{ \sqrt{ 7231 } }{ 7 } \\&\approx12.1479\end{align*}$