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

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

Evaluate

$$12$$

Solution Steps

Cancel out 2 and 2.

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

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}.

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

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

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

Multiply 3 and 2 to get 6.

$$6\sqrt{4}$$

Calculate the square root of 4 and get 2.

$$6\times 2$$

Multiply 6 and 2 to get 12.

$$12$$

Factor

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