Solve -4sqrt{72}-sqrt{8}

$$- 4 \sqrt { 72 } - \sqrt { 8 }$$

Evaluate

$$-26\sqrt{2}\approx -36.769552622$$

Solution Steps

Factor 72=6^{2}\times 2. Rewrite the square root of the product \sqrt{6^{2}\times 2} as the product of square roots \sqrt{6^{2}}\sqrt{2}. Take the square root of 6^{2}.

$$-4\times 6\sqrt{2}-\sqrt{8}$$

Multiply -4 and 6 to get -24.

$$-24\sqrt{2}-\sqrt{8}$$

Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.

$$-24\sqrt{2}-2\sqrt{2}$$

Combine -24\sqrt{2} and -2\sqrt{2} to get -26\sqrt{2}.

$$-26\sqrt{2}$$