Question

$$\sqrt{ \frac{ 125 }{ 50 } }$$

Answer

sqrt(10)/2

Solution


Simplify  \(\frac{125}{50}\)  to  \(\frac{5}{2}\).
\[\sqrt{\frac{5}{2}}\]
Simplify.
\[\frac{\sqrt{5}}{\sqrt{2}}\]
Rationalize the denominator: \(\frac{\sqrt{5}}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}=\frac{\sqrt{5}\sqrt{2}}{2}\).
\[\frac{\sqrt{5}\sqrt{2}}{2}\]
Simplify  \(\sqrt{5}\sqrt{2}\)  to  \(\sqrt{10}\).
\[\frac{\sqrt{10}}{2}\]

Decimal Form: 1.581139