Solve sqrt{40}

$$\sqrt{40}$$

Evaluate

$$2\sqrt{10}\approx 6.32455532$$

Solution Steps

Factor 40=2^{2}\times 10. Rewrite the square root of the product \sqrt{2^{2}\times 10} as the product of square roots \sqrt{2^{2}}\sqrt{10}. Take the square root of 2^{2}.

$$2\sqrt{10}$$