Solve (-5sqrt{8})(-6sqrt{7})

$$( - 5 \sqrt { 8 } ) ( - 6 \sqrt { 7 } )$$

Evaluate

$$60\sqrt{14}\approx 224.499443206$$

Solution Steps

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}.

$$-5\times 2\sqrt{2}\left(-6\right)\sqrt{7}$$

Multiply -5 and 2 to get -10.

$$-10\sqrt{2}\left(-6\right)\sqrt{7}$$

Multiply -10 and -6 to get 60.

$$60\sqrt{2}\sqrt{7}$$

To multiply \sqrt{2} and \sqrt{7}, multiply the numbers under the square root.

$$60\sqrt{14}$$