Answer :
Sure! Let's determine which of the given numbers are perfect squares. A perfect square is a number that can be expressed as the square of an integer. Here are the steps to find out which numbers are perfect squares:
1. Number 16:
- Check if there is an integer whose square is 16.
- The number 4 squared (4 × 4) equals 16.
- Therefore, 16 is a perfect square.
2. Number 24:
- Check if there is an integer whose square is 24.
- No integer squared results in 24. (For example, 4 squared is 16 and 5 squared is 25, both do not equal 24.)
- Therefore, 24 is not a perfect square.
3. Number 81:
- Check if there is an integer whose square is 81.
- The number 9 squared (9 × 9) equals 81.
- Therefore, 81 is a perfect square.
4. Number 8:
- Check if there is an integer whose square is 8.
- No integer squared results in 8. (For example, 2 squared is 4, and 3 squared is 9, neither equals 8.)
- Therefore, 8 is not a perfect square.
5. Number 80:
- Check if there is an integer whose square is 80.
- No integer squared results in 80. (For example, 8 squared is 64, and 9 squared is 81, both do not equal 80.)
- Therefore, 80 is not a perfect square.
6. Number 36:
- Check if there is an integer whose square is 36.
- The number 6 squared (6 × 6) equals 36.
- Therefore, 36 is a perfect square.
From these observations, the numbers that are perfect squares are 16, 81, and 36.
1. Number 16:
- Check if there is an integer whose square is 16.
- The number 4 squared (4 × 4) equals 16.
- Therefore, 16 is a perfect square.
2. Number 24:
- Check if there is an integer whose square is 24.
- No integer squared results in 24. (For example, 4 squared is 16 and 5 squared is 25, both do not equal 24.)
- Therefore, 24 is not a perfect square.
3. Number 81:
- Check if there is an integer whose square is 81.
- The number 9 squared (9 × 9) equals 81.
- Therefore, 81 is a perfect square.
4. Number 8:
- Check if there is an integer whose square is 8.
- No integer squared results in 8. (For example, 2 squared is 4, and 3 squared is 9, neither equals 8.)
- Therefore, 8 is not a perfect square.
5. Number 80:
- Check if there is an integer whose square is 80.
- No integer squared results in 80. (For example, 8 squared is 64, and 9 squared is 81, both do not equal 80.)
- Therefore, 80 is not a perfect square.
6. Number 36:
- Check if there is an integer whose square is 36.
- The number 6 squared (6 × 6) equals 36.
- Therefore, 36 is a perfect square.
From these observations, the numbers that are perfect squares are 16, 81, and 36.
