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

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

Evaluate

$$96$$

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}.

$$3\times 8\sqrt{2}\sqrt{2}\sqrt{4}$$

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

$$3\times 8\times 2\sqrt{4}$$

Multiply 3 and 8 to get 24.

$$24\times 2\sqrt{4}$$

Multiply 24 and 2 to get 48.

$$48\sqrt{4}$$

Calculate the square root of 4 and get 2.

$$48\times 2$$

Multiply 48 and 2 to get 96.

$$96$$

Factor

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