Solve sqrt{15}*sqrt{12}

$$\sqrt { 15 } \times \sqrt { 12 }$$

Evaluate

$$6\sqrt{5}\approx 13.416407865$$

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}.

$$\sqrt{15}\times 2\sqrt{3}$$

Factor 15=3\times 5. Rewrite the square root of the product \sqrt{3\times 5} as the product of square roots \sqrt{3}\sqrt{5}.

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

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

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

Multiply 3 and 2 to get 6.

$$6\sqrt{5}$$