Question

$$/ \sqrt{ \frac{ 823 }{ 3 } }$$

Answer

/(sqrt(2469)/3)

Solution


Simplify  \(\sqrt{\frac{823}{3}}\)  to  \(\frac{\sqrt{823}}{\sqrt{3}}\).
\[/(\sqrt{823}/\sqrt{3})\]
Rationalize the denominator: \(\frac{\sqrt{823}}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}}=\frac{\sqrt{823}\sqrt{3}}{3}\).
\[/((\sqrt{823}\sqrt{3})/3)\]
Simplify  \(\sqrt{823}\sqrt{3}\)  to  \(\sqrt{2469}\).
\[/(\sqrt{2469}/3)\]