Solve frac{2+sqrt{44}}{2}

$$\frac { 2 + \sqrt { 44 } } { 2 }$$

Evaluate

$$\sqrt{11}+1\approx 4.31662479$$

Solution Steps

Factor 44=2^{2}\times 11. Rewrite the square root of the product \sqrt{2^{2}\times 11} as the product of square roots \sqrt{2^{2}}\sqrt{11}. Take the square root of 2^{2}.

$$\frac{2+2\sqrt{11}}{2}$$

Divide each term of 2+2\sqrt{11} by 2 to get 1+\sqrt{11}.

$$1+\sqrt{11}$$