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

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

Evaluate

$$36$$

Solution Steps

Factor 6=2\times 3. Rewrite the square root of the product \sqrt{2\times 3} as the product of square roots \sqrt{2}\sqrt{3}.

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

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

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

Multiply \sqrt{3} and \sqrt{3} to get 3.

$$2\times 3\times 2\times 3$$

Multiply 2 and 3 to get 6.

$$6\times 2\times 3$$

Multiply 6 and 2 to get 12.

$$12\times 3$$

Multiply 12 and 3 to get 36.

$$36$$

Factor

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