Solve 3sqrt{44}-7sqrt{99}

$$3 \sqrt { 44 } - 7 \sqrt { 99 }$$

Evaluate

$$-15\sqrt{11}\approx -49.749371855$$

Solution Steps

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}.

$$3\times 2\sqrt{11}-7\sqrt{99}$$

Multiply 3 and 2 to get 6.

$$6\sqrt{11}-7\sqrt{99}$$

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}.

$$6\sqrt{11}-7\times 3\sqrt{11}$$

Multiply -7 and 3 to get -21.

$$6\sqrt{11}-21\sqrt{11}$$

Combine 6\sqrt{11} and -21\sqrt{11} to get -15\sqrt{11}.

$$-15\sqrt{11}$$