Solve 22/7*sqrt{264}

$$\frac{ 22 }{ 7 } \times \sqrt{ 264 }$$

Evaluate

$$\frac{44\sqrt{66}}{7}\approx 51.065384258$$

Solution Steps

Factor 264=2^{2}\times 66. Rewrite the square root of the product \sqrt{2^{2}\times 66} as the product of square roots \sqrt{2^{2}}\sqrt{66}. Take the square root of 2^{2}.

$$\frac{22}{7}\times 2\sqrt{66}$$

Express \frac{22}{7}\times 2 as a single fraction.

$$\frac{22\times 2}{7}\sqrt{66}$$

Multiply 22 and 2 to get 44.

$$\frac{44}{7}\sqrt{66}$$