Solve 12*(5sqrt{10})(-3sqrt{2})

$$12 \cdot ( 5 \sqrt { 10 } ) ( - 3 \sqrt { 2 } )$$

Evaluate

$$-360\sqrt{5}\approx -804.9844719$$

Solution Steps

Factor 10=2\times 5. Rewrite the square root of the product \sqrt{2\times 5} as the product of square roots \sqrt{2}\sqrt{5}.

$$12\times 5\sqrt{2}\sqrt{5}\left(-3\right)\sqrt{2}$$

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

$$12\times 5\times 2\left(-3\right)\sqrt{5}$$

Multiply 12 and 5 to get 60.

$$60\times 2\left(-3\right)\sqrt{5}$$

Multiply 60 and 2 to get 120.

$$120\left(-3\right)\sqrt{5}$$

Multiply 120 and -3 to get -360.

$$-360\sqrt{5}$$