Solve 2sqrt{8}*5sqrt{10}

$$2 \sqrt{ 8 } \times 5 \sqrt{ 10 }$$

Evaluate

$$40\sqrt{5}\approx 89.4427191$$

Solution Steps

Multiply 2 and 5 to get 10.

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

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}.

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

Multiply 10 and 2 to get 20.

$$20\sqrt{2}\sqrt{10}$$

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}.

$$20\sqrt{2}\sqrt{2}\sqrt{5}$$

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

$$20\times 2\sqrt{5}$$

Multiply 20 and 2 to get 40.

$$40\sqrt{5}$$