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

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

Solution:

No, square roots of all positive integers are not irrational

For example, consider the integer 16
√16 = 4 which is a rational number

Related Questions –

• State whether the following statements are true or false. Justify your answers. (i) Every irrational number is a real number. (ii) Every point on the number line is of the form √m , where m is a natural number. (iii) Every real number is an irrational number.
• Show how root 5 can be represented on the number line