Question

2. 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

no, square roots of all positive integers are never be an irrational number.

any irrational number is a real number which can't be expressed in the form of p by q and q is never equal to zero.

if if we take a positive integer is equal to 3

then square root of 3 is an irrational number as it can't be written in the form of p by q. there for square root of 3 is an irrational number.

but if we take for as a positive integer then its square root is equal to 2 which can be written in the form of p by q where p is equal to 2 and q is equal to 1. the square root of 4 is a rational number it is not a irrational.

therefore answer verified that square root of all positive integer can never be irrational

Answer 2

No, the square roots of all positive integers are not irrational.

For example,

√4 = 2 is rational

√9 = 3 is rational.

Hence, the square roots of positive integers 4 and 9 are not irrational. (2 and 3, respectively)