Solve -sqrt{99}-5sqrt{44}+2sqrt{275}

$$- \sqrt{ 99 } -5 \sqrt{ 44 } +2 \sqrt{ 275 }$$

Evaluate

$$-3\sqrt{11}\approx -9.949874371$$

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}.

$$-3\sqrt{11}-5\sqrt{44}+2\sqrt{275}$$

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}.

$$-3\sqrt{11}-5\times 2\sqrt{11}+2\sqrt{275}$$

Multiply -5 and 2 to get -10.

$$-3\sqrt{11}-10\sqrt{11}+2\sqrt{275}$$

Factor 275=5^{2}\times 11. Rewrite the square root of the product \sqrt{5^{2}\times 11} as the product of square roots \sqrt{5^{2}}\sqrt{11}. Take the square root of 5^{2}.

$$-3\sqrt{11}-10\sqrt{11}+2\times 5\sqrt{11}$$

Multiply 2 and 5 to get 10.

$$-3\sqrt{11}-10\sqrt{11}+10\sqrt{11}$$

Combine -10\sqrt{11} and 10\sqrt{11} to get 0.

$$-3\sqrt{11}$$