Solve sqrt{96/100}

$$\sqrt{ \frac{ 96 }{ 100 } }$$

Evaluate

$$\frac{2\sqrt{6}}{5}\approx 0.979795897$$

Solution Steps

Reduce the fraction \frac{96}{100} to lowest terms by extracting and canceling out 4.

$$\sqrt{\frac{24}{25}}$$

Rewrite the square root of the division \sqrt{\frac{24}{25}} as the division of square roots \frac{\sqrt{24}}{\sqrt{25}}.

$$\frac{\sqrt{24}}{\sqrt{25}}$$

Factor 24=2^{2}\times 6. Rewrite the square root of the product \sqrt{2^{2}\times 6} as the product of square roots \sqrt{2^{2}}\sqrt{6}. Take the square root of 2^{2}.

$$\frac{2\sqrt{6}}{\sqrt{25}}$$

Calculate the square root of 25 and get 5.

$$\frac{2\sqrt{6}}{5}$$