To find the perfect square between 60 and 70, follow these steps:
1. **Understand what a perfect square is**:
A perfect square is a number that can be expressed as the square of an integer. For example, 4 is a perfect square because \( 2^2 = 4 \).
2. **Identify the range**:
The range given is between 60 and 70. We need to find if any integer squared falls within this range.
3. **Check square roots**:
The square root of 60 is approximately \( \sqrt{60} \approx 7.746 \), and the square root of 70 is approximately \( \sqrt{70} \approx 8.366 \).
Therefore, any perfect square in this range must be the square of an integer between 7.746 and 8.366.
4. **Identify the integer in the range**:
The only integer between 7.746 and 8.366 is 8.
5. **Square the integer**:
Calculate \( 8^2 = 64 \).
6. **Verify the result**:
Check if 64 lies between 60 and 70. Yes, \( 60 < 64 < 70 \).
### Final Answer:
The perfect square between 60 and 70 is **64**.