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

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

Evaluate

$$40$$

Solution Steps

Factor 8=2\times 4. Rewrite the square root of the product \sqrt{2\times 4} as the product of square roots \sqrt{2}\sqrt{4}.

$$2\times 5\sqrt{2}\sqrt{4}\sqrt{2}$$

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

$$2\times 5\times 2\sqrt{4}$$

Multiply 2 and 5 to get 10.

$$10\times 2\sqrt{4}$$

Multiply 10 and 2 to get 20.

$$20\sqrt{4}$$

Calculate the square root of 4 and get 2.

$$20\times 2$$

Multiply 20 and 2 to get 40.

$$40$$

Factor

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