Question

square root of 28 is rational or irrational

square root of 19 is rational or irrational

square root of 4 is rational or irrational

Answer 1

To determine if the square roots of the given numbers are rational or irrational, we can analyze each one:

1. **Square root of 28**:
- \(\sqrt{28}\) can be simplified to \(2\sqrt{7}\). Since \(\sqrt{7}\) is not a perfect square, \(\sqrt{28}\) is irrational.

2. **Square root of 19**:
- \(\sqrt{19}\) is not a perfect square, so it is also irrational.

3. **Square root of 4**:
- \(\sqrt{4} = 2\), which is a whole number and therefore rational.

In summary:
- \(\sqrt{28}\) is irrational.
- \(\sqrt{19}\) is irrational.
- \(\sqrt{4}\) is rational.