Question

You are given the list of​ numbers, StartSet negative 5 comma StartRoot 48 EndRoot comma negative eight sevenths comma 5.73773777 font size decreased by 4 . font size decreased by 4 . font size decreased by 4 . comma 8 comma 0 EndSet
. Which numbers are​ rational? Irrational?
Question content area bottom
Part 1
Which numbers are​ rational? Select all that apply.
A.
0
B.negative 5
negative 5
C.8
8
D.StartRoot 48 EndRoot
StartRoot 48 EndRoot
E.5.73773777 font size decreased by 4 . font size decreased by 4 . font size decreased by 4 .
5.73773777 font size decreased by 4 . font size decreased by 4 . font size decreased by 4 .
F.negative eight sevenths
negative eight sevenths

Answer 1

Rational: A (0), B (−5), C (8), E (5.73773777… — a repeating decimal), F (−8/7).

Irrational: D (√48).

Brief reasons:
- 0, −5, and 8 are integers, hence rational.
- −8/7 is a fraction of integers, so rational.
- 5.73773777… is a repeating decimal, so it equals a rational fraction.
- √48 = 4√3 and √3 is not rational, so √48 is irrational.