Solve 3sqrt{2}*3sqrt{6}div2

$$3 \sqrt{ 2 } \times 3 \sqrt{ 6 } \div 2$$

Evaluate

$$9\sqrt{3}\approx 15.588457268$$

Solution Steps

Factor 6=2\times 3. Rewrite the square root of the product \sqrt{2\times 3} as the product of square roots \sqrt{2}\sqrt{3}.

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

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

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

Multiply 3 and 3 to get 9.

$$\frac{9\times 2\sqrt{3}}{2}$$

Multiply 9 and 2 to get 18.

$$\frac{18\sqrt{3}}{2}$$

Divide 18\sqrt{3} by 2 to get 9\sqrt{3}.

$$9\sqrt{3}$$