Consider the expression 3/4+√10

The sum \( \frac{3}{4} + \sqrt{10} \) is irrational because \( \sqrt{10} \) is an irrational number, and the sum of a rational number (like \( \frac{3}{4} \)) and an irrational number is always irrational. Therefore, \( \frac{3}{4} + \sqrt{10} \) is irrational.