Solve frac{sqrt{40}}{14}

$$\frac { \sqrt { 40 } } { 14 }$$

Evaluate

$$\frac{\sqrt{10}}{7}\approx 0.451753951$$

Solution Steps

Factor 40=2^{2}\times 10. Rewrite the square root of the product \sqrt{2^{2}\times 10} as the product of square roots \sqrt{2^{2}}\sqrt{10}. Take the square root of 2^{2}.

$$\frac{2\sqrt{10}}{14}$$

Divide 2\sqrt{10} by 14 to get \frac{1}{7}\sqrt{10}.

$$\frac{1}{7}\sqrt{10}$$