Solve sqrt{(1/3+1/2)*6/5}

$$\sqrt { ( \frac { 1 } { 3 } + \frac { 1 } { 2 } ) \cdot \frac { 6 } { 5 } }$$

Evaluate

$$1$$

Solution Steps

Least common multiple of 3 and 2 is 6. Convert \frac{1}{3} and \frac{1}{2} to fractions with denominator 6.

$$\sqrt{\left(\frac{2}{6}+\frac{3}{6}\right)\times \frac{6}{5}}$$

Since \frac{2}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\sqrt{\frac{2+3}{6}\times \frac{6}{5}}$$

Add 2 and 3 to get 5.

$$\sqrt{\frac{5}{6}\times \frac{6}{5}}$$

Cancel out \frac{5}{6} and its reciprocal \frac{6}{5}.

$$\sqrt{1}$$

Calculate the square root of 1 and get 1.

$$1$$

Factor

$$1$$