Solve (frac{sqrt{9+16}}{15}+2/3)^frac{1{2}}

$$( \frac { \sqrt { 9 + 16 } } { 15 } + \frac { 2 } { 3 } ) ^ { \frac { 1 } { 2 } }$$

Evaluate

$$1$$

Solution Steps

Add 9 and 16 to get 25.

$$\left(\frac{\sqrt{25}}{15}+\frac{2}{3}\right)^{\frac{1}{2}}$$

Calculate the square root of 25 and get 5.

$$\left(\frac{5}{15}+\frac{2}{3}\right)^{\frac{1}{2}}$$

Reduce the fraction \frac{5}{15} to lowest terms by extracting and canceling out 5.

$$\left(\frac{1}{3}+\frac{2}{3}\right)^{\frac{1}{2}}$$

Add \frac{1}{3} and \frac{2}{3} to get 1.

$$1^{\frac{1}{2}}$$

Calculate 1 to the power of \frac{1}{2} and get 1.

$$1$$

Factor

$$1$$