a Prove that the integer m 5344580232 468953 135 is not a pe

(a) Prove that the integer m 5,344,580,232, 468,953, 135 is not a perfect square.

Solution

Let m be a perfect square

We can see m is a multiple of 5

Since 5 is prime and m is a perfect square so 5^2 must divide m

But divisibility for 25 states that last two digits must be divisible by 25

but 35 is not divisible by 25

Hence, m is not a perfect square