Question

Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.

Answer 1

@ikatouni

Answer 2

No. Not all square roots of integers are irrational. Examples are square root of 4 is 2 square root of 9 is 3 etc.

Answer 3

A square root asks a question:
What number multiplied by itself (eg.:3x3 or 10x10) is equal to the number under the square root symbol.
However, no number multiplied by itself which will be negative. Try it with a calculator.
-2 x -2 is 4.
So if the number under the square root symbol is negative, it is irrational.