Question

$$\sqrt{ \frac{ 8 }{ 13 } }$$

Answer

(2*sqrt(26))/13

Solution


Simplify.
\[\frac{\sqrt{8}}{\sqrt{13}}\]
Simplify  \(\sqrt{8}\)  to  \(2\sqrt{2}\).
\[\frac{2\sqrt{2}}{\sqrt{13}}\]
Rationalize the denominator: \(\frac{2\sqrt{2}}{\sqrt{13}} \cdot \frac{\sqrt{13}}{\sqrt{13}}=\frac{2\sqrt{2}\sqrt{13}}{13}\).
\[\frac{2\sqrt{2}\sqrt{13}}{13}\]
Simplify  \(2\sqrt{2}\sqrt{13}\)  to  \(2\sqrt{26}\).
\[\frac{2\sqrt{26}}{13}\]

Decimal Form: 0.784465