select the correct answer. what is a counterexample to this claim? all perfect squares are even. a. 4 b. 9…
select the correct answer. what is a counterexample to this claim? all perfect squares are even. a. 4 b. 9 c. 16 d. 36
Answer
Explanation:
Step1: Recall definition of perfect square
A perfect square is a number that can be written as the product of an integer with itself.
Step2: Recall definition of even and odd
An even number is divisible by 2, and an odd number is not divisible by 2.
Step3: Analyze each option
- Option A: $4 = 2\times2$, it is even.
- Option B: $9=3\times3$, 9 is odd. It is a counter - example to the claim "All perfect squares are even".
- Option C: $16 = 4\times4$, it is even.
- Option D: $36=6\times6$, it is even.
Answer:
B. 9