Solve 3sqrt{8}*5sqrt{32}

$$3 \sqrt { 8 } \times 5 \sqrt { 32 }$$

Evaluate

$$240$$

Solution Steps

Factor 32=8\times 4. Rewrite the square root of the product \sqrt{8\times 4} as the product of square roots \sqrt{8}\sqrt{4}.

$$3\times 5\sqrt{8}\sqrt{8}\sqrt{4}$$

Multiply \sqrt{8} and \sqrt{8} to get 8.

$$3\times 5\times 8\sqrt{4}$$

Multiply 3 and 5 to get 15.

$$15\times 8\sqrt{4}$$

Multiply 15 and 8 to get 120.

$$120\sqrt{4}$$

Calculate the square root of 4 and get 2.

$$120\times 2$$

Multiply 120 and 2 to get 240.

$$240$$

Factor

$$2^{4}\times 3\times 5$$