Question

question 4 of 10
what is a counterexample to this claim?
all perfect squares are even.
a. 4
b. 9
c. 16
d. 36

Explanation:

A counterexample disproves the claim "All perfect squares are even" by being a perfect square that is odd. Let's check each option:

• 4 is $2^2$, an even perfect square, so it supports the claim.
• 9 is $3^2$, an odd perfect square, which directly contradicts the claim.
• 16 is $4^2$, an even perfect square, supporting the claim.
• 36 is $6^2$, an even perfect square, supporting the claim.

Answer:

B. 9