Solve sqrt{8}*sqrt{18}

$$\sqrt { 8 } \times \sqrt { 18 }$$

Evaluate

$$12$$

Solution Steps

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}.

$$2\sqrt{2}\sqrt{18}$$

Factor 18=3^{2}\times 2. Rewrite the square root of the product \sqrt{3^{2}\times 2} as the product of square roots \sqrt{3^{2}}\sqrt{2}. Take the square root of 3^{2}.

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

Multiply 2 and 3 to get 6.

$$6\sqrt{2}\sqrt{2}$$

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

$$6\times 2$$

Multiply 6 and 2 to get 12.

$$12$$

Factor

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