Solve 1/2sqrt{640}

$$\frac { 1 } { 2 } \sqrt { 640 }$$

Evaluate

$$4\sqrt{10}\approx 12.649110641$$

Solution Steps

Factor 640=8^{2}\times 10. Rewrite the square root of the product \sqrt{8^{2}\times 10} as the product of square roots \sqrt{8^{2}}\sqrt{10}. Take the square root of 8^{2}.

$$\frac{1}{2}\times 8\sqrt{10}$$

Multiply \frac{1}{2} and 8 to get \frac{8}{2}.

$$\frac{8}{2}\sqrt{10}$$

Divide 8 by 2 to get 4.

$$4\sqrt{10}$$