Solve 5925/5494sqrt{452}

$$\frac{ 5925 }{ 5494 \sqrt{ 452 } }$$

Evaluate

$$\frac{5925\sqrt{113}}{1241644}\approx 0.050725984$$

Solution Steps

Factor 452=2^{2}\times 113. Rewrite the square root of the product \sqrt{2^{2}\times 113} as the product of square roots \sqrt{2^{2}}\sqrt{113}. Take the square root of 2^{2}.

$$\frac{5925}{5494\times 2\sqrt{113}}$$

Multiply 5494 and 2 to get 10988.

$$\frac{5925}{10988\sqrt{113}}$$

Rationalize the denominator of \frac{5925}{10988\sqrt{113}} by multiplying numerator and denominator by \sqrt{113}.

$$\frac{5925\sqrt{113}}{10988\left(\sqrt{113}\right)^{2}}$$

The square of \sqrt{113} is 113.

$$\frac{5925\sqrt{113}}{10988\times 113}$$

Multiply 10988 and 113 to get 1241644.

$$\frac{5925\sqrt{113}}{1241644}$$