Solve sqrt{60/49}

$$\sqrt{ \frac{ 60 }{ 49 } }$$

Evaluate

$$\frac{2\sqrt{15}}{7}\approx 1.10656667$$

Solution Steps

Rewrite the square root of the division \sqrt{\frac{60}{49}} as the division of square roots \frac{\sqrt{60}}{\sqrt{49}}.

$$\frac{\sqrt{60}}{\sqrt{49}}$$

Factor 60=2^{2}\times 15. Rewrite the square root of the product \sqrt{2^{2}\times 15} as the product of square roots \sqrt{2^{2}}\sqrt{15}. Take the square root of 2^{2}.

$$\frac{2\sqrt{15}}{\sqrt{49}}$$

Calculate the square root of 49 and get 7.

$$\frac{2\sqrt{15}}{7}$$