Solve 3sqrt{6}*2sqrt{10}

$$3 \sqrt{ 6 } \times 2 \sqrt{ 10 }$$

Evaluate

$$12\sqrt{15}\approx 46.475800154$$

Solution Steps

Multiply 2 and 3 to get 6.

$$6\sqrt{6}\sqrt{10}$$

To multiply \sqrt{6} and \sqrt{10}, multiply the numbers under the square root.

$$6\sqrt{60}$$

Factor 60=2^{2}\times 15. Rewrite the square root of the product \sqrt{2^{2}\times 15} as the product of square roots \sqrt{2^{2}}\sqrt{15}. Take the square root of 2^{2}.

$$6\times 2\sqrt{15}$$

Multiply 6 and 2 to get 12.

$$12\sqrt{15}$$