Solve 2sqrt{3}*2sqrt{12}

$$2 \sqrt { 3 } \times 2 \sqrt { 12 }$$

Evaluate

$$24$$

Solution Steps

Factor 12=3\times 4. Rewrite the square root of the product \sqrt{3\times 4} as the product of square roots \sqrt{3}\sqrt{4}.

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

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

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

Multiply 2 and 2 to get 4.

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

Multiply 4 and 3 to get 12.

$$12\sqrt{4}$$

Calculate the square root of 4 and get 2.

$$12\times 2$$

Multiply 12 and 2 to get 24.

$$24$$

Factor

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