Question

You are given the list of​ numbers, StartSet negative 8 comma 0 comma StartRoot 58 EndRoot comma negative seven fifths comma 3.73773777 font size decreased by 4 . font size decreased by 4 . font size decreased by 4 . comma 7 EndSet
. Which numbers are​ rational? Irrational?
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Part 1
Which numbers are​ rational? Select all that apply.
A.3.73773777 font size decreased by 4 . font size decreased by 4 . font size decreased by 4 .
3.73773777 font size decreased by 4 . font size decreased by 4 . font size decreased by 4 .
B.StartRoot 58 EndRoot
StartRoot 58 EndRoot
C.negative 8
negative 8
D.
0
E.negative seven fifths
negative seven fifths
F.7
7

Answer 1

The rational numbers are: A, C, D, E, F.
- A (3.73773777...): a repeating (or eventually repeating) decimal is rational.
- C (−8): any integer is rational.
- D (0): rational.
- E (−7/5): a ratio of integers, hence rational.
- F (7): integer → rational.

The irrational number is: B.
- B (√58): 58 is not a perfect square, so √58 is irrational.