Solve frac{sqrt{9}}{sqrt{123}}

$$\frac { \sqrt { 9 } } { \sqrt { 123 } }$$

Evaluate

$$\frac{\sqrt{123}}{41}\approx 0.27050089$$

Solution Steps

Calculate the square root of 9 and get 3.

$$\frac{3}{\sqrt{123}}$$

Rationalize the denominator of \frac{3}{\sqrt{123}} by multiplying numerator and denominator by \sqrt{123}.

$$\frac{3\sqrt{123}}{\left(\sqrt{123}\right)^{2}}$$

The square of \sqrt{123} is 123.

$$\frac{3\sqrt{123}}{123}$$

Divide 3\sqrt{123} by 123 to get \frac{1}{41}\sqrt{123}.

$$\frac{1}{41}\sqrt{123}$$