Solve -8sqrt{22}-5sqrt{88}

$$- 8 \sqrt { 22 } - 5 \sqrt { 88 }$$

Evaluate

$$-18\sqrt{22}\approx -84.427483677$$

Solution Steps

Factor 88=2^{2}\times 22. Rewrite the square root of the product \sqrt{2^{2}\times 22} as the product of square roots \sqrt{2^{2}}\sqrt{22}. Take the square root of 2^{2}.

$$-8\sqrt{22}-5\times 2\sqrt{22}$$

Multiply -5 and 2 to get -10.

$$-8\sqrt{22}-10\sqrt{22}$$

Combine -8\sqrt{22} and -10\sqrt{22} to get -18\sqrt{22}.

$$-18\sqrt{22}$$