Solve sqrt{12}*2sqrt{5}

$$\sqrt { 12 } \times 2 \sqrt { 5 }$$

Evaluate

$$4\sqrt{15}\approx 15.491933385$$

Solution Steps

Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.

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

Multiply 2 and 2 to get 4.

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

To multiply \sqrt{3} and \sqrt{5}, multiply the numbers under the square root.

$$4\sqrt{15}$$