Solve -sqrt{8/25}

$$- \sqrt { \frac { 8 } { 25 } }$$

Evaluate

$$-\frac{2\sqrt{2}}{5}\approx -0.565685425$$

Solution Steps

Rewrite the square root of the division \sqrt{\frac{8}{25}} as the division of square roots \frac{\sqrt{8}}{\sqrt{25}}.

$$-\frac{\sqrt{8}}{\sqrt{25}}$$

Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.

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

Calculate the square root of 25 and get 5.

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