Solve 50/351sqrt{44}

$$\frac{ 50 }{ 3 } 51 \sqrt{ 44 }$$

Evaluate

$$1700\sqrt{11}\approx 5638.262143604$$

Solution Steps

Express 51\times \frac{50}{3} as a single fraction.

$$\frac{51\times 50}{3}\sqrt{44}$$

Multiply 51 and 50 to get 2550.

$$\frac{2550}{3}\sqrt{44}$$

Divide 2550 by 3 to get 850.

$$850\sqrt{44}$$

Factor 44=2^{2}\times 11. Rewrite the square root of the product \sqrt{2^{2}\times 11} as the product of square roots \sqrt{2^{2}}\sqrt{11}. Take the square root of 2^{2}.

$$850\times 2\sqrt{11}$$

Multiply 850 and 2 to get 1700.

$$1700\sqrt{11}$$