Solve sqrt{15}*sqrt{80}

$$\sqrt { 15 } \times \sqrt { 80 }$$

Evaluate

$$20\sqrt{3}\approx 34.641016151$$

Solution Steps

Factor 80=4^{2}\times 5. Rewrite the square root of the product \sqrt{4^{2}\times 5} as the product of square roots \sqrt{4^{2}}\sqrt{5}. Take the square root of 4^{2}.

$$\sqrt{15}\times 4\sqrt{5}$$

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

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

Multiply \sqrt{5} and \sqrt{5} to get 5.

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

Multiply 5 and 4 to get 20.

$$20\sqrt{3}$$