Question

Which numbers are​ irrational? Select all that apply.
A.9
9
B.
0
C.negative five halves
negative five halves
D.negative 6
negative 6
E.2.73773777 font size decreased by 4 . font size decreased by 4 . font size decreased by 4 .
2.73773777 font size decreased by 4 . font size decreased by 4 . font size decreased by 4 .
F.StartRoot 60 EndRoot
StartRoot 60 EndRoot

Answer 1

To determine which of the given numbers are irrational, let's analyze each option:

A. **9** - This is a rational number because it can be expressed as \( \frac{9}{1} \).

B. **0** - This is a rational number as it can be expressed as \( \frac{0}{1} \).

C. **negative five halves** (-5/2) - This is a rational number because it can be expressed as \(-\frac{5}{2}\).

D. **negative 6** - This is a rational number because it can be expressed as \(-\frac{6}{1}\).

E. **2.73773777...** - This value is a repeating decimal (if it continues with the "77" repeating), which is a rational number because it can be expressed as a fraction.

F. **StartRoot 60 EndRoot (√60)** - This is an irrational number. The square root of 60 cannot be expressed as a fraction of two integers, hence it is irrational.

**Thus, the only irrational number from the list is:**
- **F. StartRoot 60 EndRoot (√60)**