Solve sqrt{20}+sqrt{81}-sqrt{50}

$$\sqrt { 20 } + \sqrt { 81 } - \sqrt { 50 }$$

Evaluate

$$2\sqrt{5}+9-5\sqrt{2}\approx 6.401068143$$

Solution Steps

Factor 20=2^{2}\times 5. Rewrite the square root of the product \sqrt{2^{2}\times 5} as the product of square roots \sqrt{2^{2}}\sqrt{5}. Take the square root of 2^{2}.

$$2\sqrt{5}+\sqrt{81}-\sqrt{50}$$

Calculate the square root of 81 and get 9.

$$2\sqrt{5}+9-\sqrt{50}$$

Factor 50=5^{2}\times 2. Rewrite the square root of the product \sqrt{5^{2}\times 2} as the product of square roots \sqrt{5^{2}}\sqrt{2}. Take the square root of 5^{2}.

$$2\sqrt{5}+9-5\sqrt{2}$$