Without doing any calculation, find the numbers which are surely not perfect squares.(i) 153                (ii) 257                (iii) 408                 (iv) 441

Explanation

To determine which of the given numbers are surely not perfect squares, we can use the properties of perfect squares. A perfect square is a number that can be expressed as the square of an integer. There are specific characteristics that help us identify numbers that cannot be perfect squares:

1. A perfect square cannot end with the digits 2, 3, 7, or 8.
2. A perfect square cannot have an odd number of zeros at the end.

Now, let's analyze each of the given numbers:

### Step 1: Analyze 153
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