Solve frac{45sqrt{2}}{sqrt{131}}

$$\frac { 45 \sqrt { 2 } } { \sqrt { 131 } }$$

Evaluate

$$\frac{45\sqrt{262}}{131}\approx 5.560218569$$

Solution Steps

Rationalize the denominator of \frac{45\sqrt{2}}{\sqrt{131}} by multiplying numerator and denominator by \sqrt{131}.

$$\frac{45\sqrt{2}\sqrt{131}}{\left(\sqrt{131}\right)^{2}}$$

The square of \sqrt{131} is 131.

$$\frac{45\sqrt{2}\sqrt{131}}{131}$$

To multiply \sqrt{2} and \sqrt{131}, multiply the numbers under the square root.

$$\frac{45\sqrt{262}}{131}$$