Question

$$\sqrt{ 24 } + \frac{ 12 }{ \sqrt{ 6 } }$$

Answer

4*sqrt(6)

Solution


Simplify  \(\sqrt{24}\)  to  \(2\sqrt{6}\).
\[2\sqrt{6}+\frac{12}{\sqrt{6}}\]
Rationalize the denominator: \(\frac{12}{\sqrt{6}} \cdot \frac{\sqrt{6}}{\sqrt{6}}=\frac{12\sqrt{6}}{6}\).
\[2\sqrt{6}+\frac{12\sqrt{6}}{6}\]
Simplify.
\[4\sqrt{6}\]

Decimal Form: 9.797959