Question

Nearest square off 630 with steps

Answer 1

To find the nearest perfect square to 630, we can follow these steps:

1. **Estimate the Square Root**: Calculate the approximate square root of 630.
\[
\sqrt{630} \approx 25.1
\]
This means that the perfect squares we should consider are \(25^2\) and \(26^2\).

2. **Calculate the Perfect Squares**:
- Calculate \(25^2\):
\[
25^2 = 625
\]
- Calculate \(26^2\):
\[
26^2 = 676
\]

3. **Compare Distances to 630**:
- Distance from \(625\) to \(630\):
\[
630 - 625 = 5
\]
- Distance from \(676\) to \(630\):
\[
676 - 630 = 46
\]

4. **Determine the Nearest Perfect Square**:
\[
5 < 46
\]
Therefore, 625 is closer to 630 than 676.

### Conclusion
The nearest perfect square to 630 is **625**.