Question

The number of integers a such that 1 ≤ a ≤100 and a^a s a perfect square is :The number of integers a such that 1 ≤ a ≤100 and a^a s a perfect square is :

Answer 1

Answer:

For all even numbers a, a

4

will be a perfect square.

So, the total even numbers between 1 and 100 are 50.

Now, there are few odd numbers like 1,9,25,49,81 which are also perfect squares when power is raised to themselves.

Thus, the total number of such numbers between 1≤a≤100 is 55.