Solve 2sqrt{3}quad2sqrt{6}

$$2 \sqrt { 3 } \quad 2 \sqrt { 6 }$$

Evaluate

$$12\sqrt{2}\approx 16.970562748$$

Solution Steps

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

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

Multiply \sqrt{3} and \sqrt{3} to get 3.

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

Multiply 2 and 2 to get 4.

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

Multiply 4 and 3 to get 12.

$$12\sqrt{2}$$