Solve frac{sqrt{20}}{8sqrt{5}}

$$\frac { \sqrt { 20 } } { 8 \sqrt { 5 } }$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Factor 20=2^{2}\times 5. Rewrite the square root of the product \sqrt{2^{2}\times 5} as the product of square roots \sqrt{2^{2}}\sqrt{5}. Take the square root of 2^{2}.

$$\frac{2\sqrt{5}}{8\sqrt{5}}$$

Cancel out 2\sqrt{5} in both numerator and denominator.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$