Solve sqrt{60.3/4.5}

$$\sqrt{ \frac{ 60.3 }{ 4.5 } }$$

Evaluate

$$\frac{\sqrt{335}}{5}\approx 3.660601044$$

Solution Steps

Expand \frac{60.3}{4.5} by multiplying both numerator and the denominator by 10.

$$\sqrt{\frac{603}{45}}$$

Reduce the fraction \frac{603}{45} to lowest terms by extracting and canceling out 9.

$$\sqrt{\frac{67}{5}}$$

Rewrite the square root of the division \sqrt{\frac{67}{5}} as the division of square roots \frac{\sqrt{67}}{\sqrt{5}}.

$$\frac{\sqrt{67}}{\sqrt{5}}$$

Rationalize the denominator of \frac{\sqrt{67}}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.

$$\frac{\sqrt{67}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

The square of \sqrt{5} is 5.

$$\frac{\sqrt{67}\sqrt{5}}{5}$$

To multiply \sqrt{67} and \sqrt{5}, multiply the numbers under the square root.

$$\frac{\sqrt{335}}{5}$$