Final answer:
The sum of any two perfect squares between 1 and 20 is composite.
Step-by-step explanation:
The question is asking whether the sum of any two perfect squares between 1 and 20 is composite. A composite number is a positive integer that has factors other than 1 and itself. To answer the question, we can list all the perfect squares between 1 and 20 and find their sums:
- 1 + 4 = 5 (composite)
- 1 + 9 = 10 (composite)
- 1 + 16 = 17 (prime)
- 4 + 9 = 13 (prime)
- 4 + 16 = 20 (composite)
- 9 + 16 = 25 (composite)
From the list above, we can see that some of the sums are composite numbers, confirming that the statement is true.