Solve sqrt{10}*sqrt{8}

$$\sqrt{ 10 } \times \sqrt{ 8 }$$

Evaluate

$$4\sqrt{5}\approx 8.94427191$$

Solution Steps

Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.

$$\sqrt{10}\times 2\sqrt{2}$$

Factor 10=2\times 5. Rewrite the square root of the product \sqrt{2\times 5} as the product of square roots \sqrt{2}\sqrt{5}.

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

Multiply \sqrt{2} and \sqrt{2} to get 2.

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

Multiply 2 and 2 to get 4.

$$4\sqrt{5}$$