Solve sqrt{60}-sqrt{8}

$$\sqrt { 60 } - \sqrt { 8 }$$

Evaluate

$$2\left(\sqrt{15}-\sqrt{2}\right)\approx 4.917539568$$

Solution Steps

Factor 60=2^{2}\times 15. Rewrite the square root of the product \sqrt{2^{2}\times 15} as the product of square roots \sqrt{2^{2}}\sqrt{15}. Take the square root of 2^{2}.

$$2\sqrt{15}-\sqrt{8}$$

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

$$2\sqrt{15}-2\sqrt{2}$$