Solve (-5sqrt{10})(-6sqrt{15})

$$( - 5 \sqrt { 10 } ) ( - 6 \sqrt { 15 } )$$

Evaluate

$$150\sqrt{6}\approx 367.423461417$$

Solution Steps

Multiply -5 and -6 to get 30.

$$30\sqrt{10}\sqrt{15}$$

To multiply \sqrt{10} and \sqrt{15}, multiply the numbers under the square root.

$$30\sqrt{150}$$

Factor 150=5^{2}\times 6. Rewrite the square root of the product \sqrt{5^{2}\times 6} as the product of square roots \sqrt{5^{2}}\sqrt{6}. Take the square root of 5^{2}.

$$30\times 5\sqrt{6}$$

Multiply 30 and 5 to get 150.

$$150\sqrt{6}$$