Solve sqrt{6}*2sqrt{15}*4sqrt{10}=

$$\sqrt { 6 } \cdot 2 \sqrt { 15 } \cdot 4 \sqrt { 10 } =$$

Evaluate

$$240$$

Solution Steps

Multiply 2 and 4 to get 8.

$$8\sqrt{6}\sqrt{15}\sqrt{10}$$

To multiply \sqrt{6} and \sqrt{15}, multiply the numbers under the square root.

$$8\sqrt{90}\sqrt{10}$$

Factor 90=10\times 9. Rewrite the square root of the product \sqrt{10\times 9} as the product of square roots \sqrt{10}\sqrt{9}.

$$8\sqrt{10}\sqrt{9}\sqrt{10}$$

Multiply \sqrt{10} and \sqrt{10} to get 10.

$$8\times 10\sqrt{9}$$

Multiply 8 and 10 to get 80.

$$80\sqrt{9}$$

Calculate the square root of 9 and get 3.

$$80\times 3$$

Multiply 80 and 3 to get 240.

$$240$$

Factor

$$2^{4}\times 3\times 5$$