Solve 1sqrt{712*5247%}

$$1 \sqrt{ 712 \times 5247 \% }$$

Evaluate

$$\frac{3\sqrt{103774}}{5}\approx 193.283832743$$

Solution Steps

Express 712\times \frac{5247}{100} as a single fraction.

$$1\sqrt{\frac{712\times 5247}{100}}$$

Multiply 712 and 5247 to get 3735864.

$$1\sqrt{\frac{3735864}{100}}$$

Reduce the fraction \frac{3735864}{100} to lowest terms by extracting and canceling out 4.

$$1\sqrt{\frac{933966}{25}}$$

Rewrite the square root of the division \sqrt{\frac{933966}{25}} as the division of square roots \frac{\sqrt{933966}}{\sqrt{25}}.

$$1\times \frac{\sqrt{933966}}{\sqrt{25}}$$

Factor 933966=3^{2}\times 103774. Rewrite the square root of the product \sqrt{3^{2}\times 103774} as the product of square roots \sqrt{3^{2}}\sqrt{103774}. Take the square root of 3^{2}.

$$1\times \frac{3\sqrt{103774}}{\sqrt{25}}$$

Calculate the square root of 25 and get 5.

$$1\times \frac{3\sqrt{103774}}{5}$$

Express 1\times \frac{3\sqrt{103774}}{5} as a single fraction.

$$\frac{3\sqrt{103774}}{5}$$