Solve sqrt{50/49}

$$\sqrt{ \frac{ 50 }{ 49 } }$$

Evaluate

$$\frac{5\sqrt{2}}{7}\approx 1.010152545$$

Solution Steps

Rewrite the square root of the division \sqrt{\frac{50}{49}} as the division of square roots \frac{\sqrt{50}}{\sqrt{49}}.

$$\frac{\sqrt{50}}{\sqrt{49}}$$

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}.

$$\frac{5\sqrt{2}}{\sqrt{49}}$$

Calculate the square root of 49 and get 7.

$$\frac{5\sqrt{2}}{7}$$