Let’s start with arguably the simplest fact about this new year: 2025 is a perfect square. It’s equal to 45 × 45, meaning that if we drew a big old square with side length 45 units, the total ...

Memorising key square roots and using mental math tricks saves time. Techniques like the nearby perfect square trick and weighted averaging enhance problem-solving skills.

And that got us both wondering. For some perfect squares, when you remove the last digit, you get another perfect square. For example, when you remove the last digit from 256 (16 2), you get 25 (5 2).

We find an infinite family of positive integers a such that concatenating a and a − 1 in base 10 (from left to right) results in a number that is a perfect square and estimates for such concatenations ...

The allure of perfect square years lies in their rarity and the numerical properties they unveil. The last occurrence of a square year was in 1936, or 44². This means that 2025 will be the first ...

DANIEL: Today is extra special because the year also happens to be a perfect square. That is, 45 times 45 is 2025. Terrence Blackman chairs the math department at Medgar Evers College.