Solve sqrt{54.9/90}

$$\sqrt{ \frac{ 54.9 }{ 90 } }$$

Evaluate

$$\frac{\sqrt{61}}{10}\approx 0.781024968$$

Solution Steps

Expand \frac{54.9}{90} by multiplying both numerator and the denominator by 10.

$$\sqrt{\frac{549}{900}}$$

Reduce the fraction \frac{549}{900} to lowest terms by extracting and canceling out 9.

$$\sqrt{\frac{61}{100}}$$

Rewrite the square root of the division \sqrt{\frac{61}{100}} as the division of square roots \frac{\sqrt{61}}{\sqrt{100}}.

$$\frac{\sqrt{61}}{\sqrt{100}}$$

Calculate the square root of 100 and get 10.

$$\frac{\sqrt{61}}{10}$$