Question

Which numbers are​ irrational? Select all that apply.
A.
0
B.negative seven halves
negative seven halves
C.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 .
D.StartRoot 54 EndRoot
StartRoot 54 EndRoot
E.9
9
F.negative 6
negative 6
Select all that apply.Select all that apply.

Answer 1

D only.

Reasons:
- A: 0 is rational (0 = 0/1).
- B: -7/2 is a ratio of integers, so rational.
- C: 2.737737... is a repeating decimal (repeat block), so rational.
- D: sqrt(54) = 3·sqrt(6); 54 is not a perfect square and sqrt(6) is irrational, so sqrt(54) is irrational.
- E: 9 is an integer (9 = 9/1), rational.
- F: -6 is an integer (-6 = -6/1), rational.