Simplify the expression: (sqrt(2) + sqrt(5)) / sqrt(3)

Step 1: Write the given expression. $\frac{\sqrt{2} + \sqrt{5}}{\sqrt{3}}$

Step 2: Rationalize the denominator by multiplying the numerator and denominator by $\sqrt{3}$. $\frac{\sqrt{2} + \sqrt{5}}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}$

Step 3: Multiply the terms in the numerator and the denominator. $\frac{(\sqrt{2} + \sqrt{5}) \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}}$

Step 4: Distribute $\sqrt{3}$ in the numerator and simplify the denominator. $\frac{\sqrt{2} \times \sqrt{3} + \sqrt{5} \times \sqrt{3}}{3}$

Step 5: Simplify the square roots in the numerator. $\frac{\sqrt{2 \times 3} + \sqrt{5 \times 3}}{3}$ $\frac{\sqrt{6} + \sqrt{15}}{3}$

The simplified expression is: \frac{\sqrt{6 + \sqrt{15}}{3}}