Question

Question content area top
Part 1
Which numbers are​ irrational?
StartRoot 61 EndRoot
StartRoot 21 EndRoot
StartRoot 100 EndRoot
StartRoot 49 EndRoot
Question content area bottom
Part 1
Which numbers are​ irrational? Select all that apply.
A.StartRoot 100 EndRoot
StartRoot 100 EndRoot
B.StartRoot 21 EndRoot
StartRoot 21 EndRoot
C.StartRoot 49 EndRoot
StartRoot 49 EndRoot
D.StartRoot 61 EndRoot
StartRoot 61 EndRoot

Answer 1

To determine which numbers are irrational among the options given, we need to evaluate the square roots:

- **√100** = 10 (rational, as it is an integer)
- **√49** = 7 (rational, as it is an integer)
- **√21** is approximately 4.58 (irrational, since it cannot be expressed as a fraction of integers)
- **√61** is approximately 7.81 (irrational, since it cannot be expressed as a fraction of integers)

Based on this evaluation, the irrational numbers from your list are:

**B. √21**
**D. √61**