Solve 3sqrt{2}*2sqrt{8}

$$3 \sqrt { 2 } \times 2 \sqrt { 8 }$$

Evaluate

$$24$$

Solution Steps

Factor 8=2\times 4. Rewrite the square root of the product \sqrt{2\times 4} as the product of square roots \sqrt{2}\sqrt{4}.

$$2\times 3\sqrt{2}\sqrt{2}\sqrt{4}$$

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

$$2\times 3\times 2\sqrt{4}$$

Multiply 2 and 3 to get 6.

$$6\times 2\sqrt{4}$$

Multiply 6 and 2 to get 12.

$$12\sqrt{4}$$

Calculate the square root of 4 and get 2.

$$12\times 2$$

Multiply 12 and 2 to get 24.

$$24$$

Factor

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