Solve 2sqrt{8}-sqrt{8}

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

Evaluate

$$2\sqrt{2}\approx 2.828427125$$

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}.

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

Multiply 2 and 2 to get 4.

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

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}.

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

Combine 4\sqrt{2} and -2\sqrt{2} to get 2\sqrt{2}.

$$2\sqrt{2}$$