Solve 2sqrt{8}frac{sqrt{2}}{2}

$$2 \sqrt{ 8 } \frac{ \sqrt{ 2 } }{ 2 }$$

Evaluate

$$4$$

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}.

$$2\times 2\sqrt{2}\times \frac{\sqrt{2}}{2}$$

Multiply 2 and 2 to get 4.

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

Cancel out 2, the greatest common factor in 4 and 2.

$$2\sqrt{2}\sqrt{2}$$

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

$$2\times 2$$

Multiply 2 and 2 to get 4.

$$4$$

Factor

$$2^{2}$$