Solve sqrt{20}*sqrt{12}

$$\sqrt { 20 } \times \sqrt { 12 }$$

Evaluate

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

Solution Steps

Factor 20=2^{2}\times 5. Rewrite the square root of the product \sqrt{2^{2}\times 5} as the product of square roots \sqrt{2^{2}}\sqrt{5}. Take the square root of 2^{2}.

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

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}.

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

Multiply 2 and 2 to get 4.

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

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

$$4\sqrt{15}$$