Question

I am thinking of a whole number greater than 0 whose square equals to its square root. How many such numbers are there?

(A) 0
(B) 1
(C) 2
(D) 4

Answer 1

(B) 1

Explanation:

The number of such integers will be the number of places where the functions f(x) = x² and g(x) = √x intersect.

Graphical solution

The attachment shows the graphical solution to f(x) = g(x) for x > 0. There is exactly one point of intersection at x=1.

There is one such number.