Solve (-5sqrt{14})(3sqrt{2})

$$(-5 \sqrt{ 14 } )(3 \sqrt{ 2 } )$$

Evaluate

$$-30\sqrt{7}\approx -79.372539332$$

Solution Steps

Factor 14=2\times 7. Rewrite the square root of the product \sqrt{2\times 7} as the product of square roots \sqrt{2}\sqrt{7}.

$$-5\sqrt{2}\sqrt{7}\times 3\sqrt{2}$$

Multiply \sqrt{2} and \sqrt{2} to get 2.

$$-5\times 2\times 3\sqrt{7}$$

Multiply -5 and 2 to get -10.

$$-10\times 3\sqrt{7}$$

Multiply -10 and 3 to get -30.

$$-30\sqrt{7}$$