Calculate: (6sqrt(2))/(sqrt(6))

Expression: $\frac{ 6\sqrt{ 2 } }{ \sqrt{ 6 } }$

Simplify the expression

$\frac{ 6 }{ \sqrt{ 3 } }$

Multiply the fraction by $\frac{ \sqrt{ 3 } }{ \sqrt{ 3 } }$

$\frac{ 6 }{ \sqrt{ 3 } } \times \frac{ \sqrt{ 3 } }{ \sqrt{ 3 } }$

To multiply the fractions, multiply the numerators and denominators separately

$\frac{ 6\sqrt{ 3 } }{ \sqrt{ 3 }\sqrt{ 3 } }$

When a square root of an expression is multiplied by itself, the result is that expression

$\frac{ 6\sqrt{ 3 } }{ 3 }$

Cancel out the common factor $3$

$\begin{align*}&2\sqrt{ 3 } \\&\approx3.4641\end{align*}$