Question

Mia says that anytime there is a radical and an addition expression it it's automatically has an irrational number as the sun is she correct

Answer 1

Mia's statement that anytime there is a radical and an addition expression, it automatically has an irrational number as the sum is not necessarily correct.

To clarify, a radical expression typically involves a square root (or other roots), and whether the sum involving a radical is rational or irrational depends on the specific numbers involved.

For example:
- If you take \(\sqrt{4} + 1\), this equals \(2 + 1 = 3\), which is rational.
- However, if you take \(\sqrt{2} + 1\), this sum is irrational since \(\sqrt{2}\) is an irrational number and adding a rational number (1) to an irrational number still results in an irrational number.

So, it is not automatic that the sum will always be irrational; it depends on the specific numbers involved in the expression.