Solve sqrt{78%562}

$$\sqrt{ 78 \% 562 }$$

Evaluate

$$\frac{\sqrt{10959}}{5}\approx 20.937048503$$

Solution Steps

Reduce the fraction \frac{78}{100} to lowest terms by extracting and canceling out 2.

$$\sqrt{\frac{39}{50}\times 562}$$

Express \frac{39}{50}\times 562 as a single fraction.

$$\sqrt{\frac{39\times 562}{50}}$$

Multiply 39 and 562 to get 21918.

$$\sqrt{\frac{21918}{50}}$$

Reduce the fraction \frac{21918}{50} to lowest terms by extracting and canceling out 2.

$$\sqrt{\frac{10959}{25}}$$

Rewrite the square root of the division \sqrt{\frac{10959}{25}} as the division of square roots \frac{\sqrt{10959}}{\sqrt{25}}.

$$\frac{\sqrt{10959}}{\sqrt{25}}$$

Calculate the square root of 25 and get 5.

$$\frac{\sqrt{10959}}{5}$$