Solve =frac{sqrt{8}}{sqrt{50}}

$$= \frac { \sqrt { 8 } } { \sqrt { 50 } }$$

Evaluate

$$\frac{2}{5}=0.4$$

Solution Steps

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}.

$$\frac{2\sqrt{2}}{\sqrt{50}}$$

Factor 50=5^{2}\times 2. Rewrite the square root of the product \sqrt{5^{2}\times 2} as the product of square roots \sqrt{5^{2}}\sqrt{2}. Take the square root of 5^{2}.

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

Cancel out \sqrt{2} in both numerator and denominator.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$