Question

1. Give reason to show that none of the numbers given below is a perfect square :
(i) 2162​

Answer 1

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 2162 is about 46.497.

Thus, the square root of 2162 is not an integer, and therefore 2162 is not a square number.

Answer 2

Step-by-step explanation:

doing square root of 2162

√2162

as we know 2×23×47

so we can write

√2162 =√2×23×47

we can see that there is no pair if any number in root

so we can say that 2162 is not a perfect square of any number