Solve sqrt{99}+sqrt{44}

$$\sqrt { 99 } + \sqrt { 44 }$$

Evaluate

$$5\sqrt{11}\approx 16.583123952$$

Solution Steps

Factor 99=3^{2}\times 11. Rewrite the square root of the product \sqrt{3^{2}\times 11} as the product of square roots \sqrt{3^{2}}\sqrt{11}. Take the square root of 3^{2}.

$$3\sqrt{11}+\sqrt{44}$$

Factor 44=2^{2}\times 11. Rewrite the square root of the product \sqrt{2^{2}\times 11} as the product of square roots \sqrt{2^{2}}\sqrt{11}. Take the square root of 2^{2}.

$$3\sqrt{11}+2\sqrt{11}$$

Combine 3\sqrt{11} and 2\sqrt{11} to get 5\sqrt{11}.

$$5\sqrt{11}$$