114k views
4 votes
Lester has to determine which of these square roots is rational.

A. √27
B. √55
C. √60
D. √81

Lester said that Choice C is correct because the number under a square root symbol needs to be even for the square root to be rational. What mistake did Lester make?

2 Answers

2 votes

Answer:

D

Step-by-step explanation:

User Daniel Winterstein
by
8.1k points
1 vote

Hi There!

------------------------------------

Lester's Mistake:

Just because a number is odd doesn't mean its not rational. For a square root to be a rational number it has to be a number that dosen't infinitely go on like choices A, B, and C.

------------------------------------

Correct Answer:

D. √81

------------------------------------

Step-by-step explanation:

Choice D is the only square root that doesn't have a infinite decimal because √81 equals 9.

------------------------------------

Hope This Helps :)

User Bogdan Evsenev
by
7.9k points

Related questions

asked May 25, 2024 209k views
Stavros Koureas asked May 25, 2024
by Stavros Koureas
7.8k points
1 answer
4 votes
209k views
2 answers
2 votes
156k views