Hello,

A perfect square number can never have 2, 3, 7, or 8 in the ones place. When any integer is squared, the unit digit of the result can only be 0, 1, 4, 5, 6, or 9. Therefore, digits 2, 3, 7, and 8 never appear at the ones place of a perfect square.

For example:
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81

From these examples, we can see that the unit digits repeat only among 0, 1, 4, 5, 6, and 9, so a perfect square will never end in 2, 3, 7, or 8.

Helpful Careers360 resources for students:

1. Squares and Square Roots – Concept and Examples:
   https://school.careers360.com/articles/squares-and-square-roots

2. Maths Study Material and Sample Papers:
   https://school.careers360.com/download/ebooks-and-sample-papers

3. Careers360 School Mathematics Preparation Resources:
   https://school.careers360.com/articles

Thank you.