Solve 3sqrt{2}*5sqrt{8}

$$3 \sqrt { 2 } \times 5 \sqrt { 8 }$$

Evaluate

$$60$$

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}.

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

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

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

Multiply 3 and 5 to get 15.

$$15\times 2\sqrt{4}$$

Multiply 15 and 2 to get 30.

$$30\sqrt{4}$$

Calculate the square root of 4 and get 2.

$$30\times 2$$

Multiply 30 and 2 to get 60.

$$60$$

Factor

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