Solve sqrt{36}+sqrt{1/36}=

$$\sqrt { 36 } + \sqrt { \frac { 1 } { 36 } } =$$

Evaluate

$$\frac{37}{6}\approx 6.166666667$$

Solution Steps

Calculate the square root of 36 and get 6.

$$6+\sqrt{\frac{1}{36}}$$

Rewrite the square root of the division \frac{1}{36} as the division of square roots \frac{\sqrt{1}}{\sqrt{36}}. Take the square root of both numerator and denominator.

$$6+\frac{1}{6}$$

Convert 6 to fraction \frac{36}{6}.

$$\frac{36}{6}+\frac{1}{6}$$

Since \frac{36}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

$$\frac{36+1}{6}$$

Add 36 and 1 to get 37.

$$\frac{37}{6}$$

Factor

$$\frac{37}{2 \cdot 3} = 6\frac{1}{6} = 6.166666666666667$$