Question

The following numbers are not perfect squares. Give reasons?(i) 257
(ii) 4592
(iii) 2433
(iv) 5050
(v) 6098

Answer 1

(1) last digit is 7 so 257 is not a perfect squares
(2)last digit is 2
(3) last digit is 3
(4) last two digit is 50

Answer 2

Answer:

The reasons are explained below.

Step-by-step explanation:

Given the following numbers which are not the perfect squares. we have to find out the reason that why they are not the perfect squares.

First number which is given is 257, this number has the last digit 7 which is not the last digit of any square of number.

Second number is 4952, this number is also for the same fact ended with 2 which is not the last digit of square of any number.

Third number and fifth number that are 2433 and 6098 are also not with same reason as explained above.

Fourth number i.e 5050, by prime factorization method

5050=[tex]2\times 5\times 5\times 11[\tex]

The prime factors of above number are all not paired. Hence, not a perfect square.