Solve sqrt{99}+3sqrt{44}

$$\sqrt { 99 } + 3 \sqrt { 44 }$$

Evaluate

$$9\sqrt{11}\approx 29.849623113$$

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}.

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

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}.

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

Multiply 3 and 2 to get 6.

$$3\sqrt{11}+6\sqrt{11}$$

Combine 3\sqrt{11} and 6\sqrt{11} to get 9\sqrt{11}.

$$9\sqrt{11}$$