Solve sqrt{4100/16}

$$\sqrt{ \frac{ 4100 }{ 16 } }$$

Evaluate

$$\frac{5\sqrt{41}}{2}\approx 16.007810594$$

Solution Steps

Reduce the fraction \frac{4100}{16} to lowest terms by extracting and canceling out 4.

$$\sqrt{\frac{1025}{4}}$$

Rewrite the square root of the division \sqrt{\frac{1025}{4}} as the division of square roots \frac{\sqrt{1025}}{\sqrt{4}}.

$$\frac{\sqrt{1025}}{\sqrt{4}}$$

Factor 1025=5^{2}\times 41. Rewrite the square root of the product \sqrt{5^{2}\times 41} as the product of square roots \sqrt{5^{2}}\sqrt{41}. Take the square root of 5^{2}.

$$\frac{5\sqrt{41}}{\sqrt{4}}$$

Calculate the square root of 4 and get 2.

$$\frac{5\sqrt{41}}{2}$$