Solve (sqrt{40}+sqrt{80})div5

$$( \sqrt{ 40 } + \sqrt{ 80 } ) \div 5$$

Evaluate

$$\frac{2\left(\sqrt{10}+2\sqrt{5}\right)}{5}\approx 3.053765446$$

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}.

$$\frac{2\sqrt{10}+\sqrt{80}}{5}$$

Factor 80=4^{2}\times 5. Rewrite the square root of the product \sqrt{4^{2}\times 5} as the product of square roots \sqrt{4^{2}}\sqrt{5}. Take the square root of 4^{2}.

$$\frac{2\sqrt{10}+4\sqrt{5}}{5}$$