Question

is √3 + 2/5 irrational or rational

Answer 1

To determine whether \( \sqrt{3} + \frac{2}{5} \) is rational or irrational, we need to analyze the components of the expression.

1. **Identify the components**:
- \( \sqrt{3} \) is an irrational number.
- \( \frac{2}{5} \) is a rational number.

2. **Add an irrational number and a rational number**:
The sum of a rational number and an irrational number is always irrational. Therefore, since \( \sqrt{3} \) is irrational and \( \frac{2}{5} \) is rational, their sum \( \sqrt{3} + \frac{2}{5} \) must also be irrational.

Thus, \( \sqrt{3} + \frac{2}{5} \) is irrational.