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

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

Evaluate

$$12\sqrt{6}\approx 29.393876913$$

Solution Steps

Multiply 2 and 3 to get 6.

$$6\sqrt{3}\sqrt{8}$$

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

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

Multiply 6 and 2 to get 12.

$$12\sqrt{3}\sqrt{2}$$

To multiply \sqrt{3} and \sqrt{2}, multiply the numbers under the square root.

$$12\sqrt{6}$$