Solve 8sqrt{2}-4sqrt{8}

$$8 \sqrt { 2 } - 4 \sqrt { 8 }$$

Evaluate

$$0$$

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}.

$$8\sqrt{2}-4\times 2\sqrt{2}$$

Multiply -4 and 2 to get -8.

$$8\sqrt{2}-8\sqrt{2}$$

Combine 8\sqrt{2} and -8\sqrt{2} to get 0.

$$0$$

Factor

$$0$$