what are the tho digit perfect squares?
i am really confused! please help
To find the two-digit perfect squares, we need to determine which perfect squares fall within the range of two-digit numbers (10 to 99).
One way to approach this problem is by finding the square roots of the numbers in the range and checking if the result is a whole number. If it is, then that number is a perfect square.
Here's how to do it step by step:
1. Take the square root of the smallest two-digit number to find the lower bound. The square root of 10 is approximately 3.16, which is not a whole number. Therefore, there are no perfect squares in the range of 10 to 99 that start with a 1.
2. Take the square root of the largest two-digit number to find the upper bound. The square root of 99 is approximately 9.95, which is also not a whole number. This means that there are no perfect squares in the range of 10 to 99 that start with a 9.
3. Now, let's try the numbers in between, starting with 2. The square root of 16 is 4, which is a whole number. So, 16 is a perfect square.
4. Next, we try the square root of 25, which is 5. So, 25 is a perfect square as well.
5. Continuing this pattern, the square root of 36 is 6, making it a perfect square.
6. Lastly, we check the square root of 49, which is 7. Therefore, 49 is another perfect square.
To summarize, the two-digit perfect squares are 16, 25, 36, and 49.