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.

Open in App

Solution

the square roots of all positive integers are not irrational. For example $\sqrt{9} = 3$ , $\sqrt{25} = 5$ , hence square roots of all positive integers are not irrational.
For example,
$\sqrt{25} = 5$ is rational.
$\sqrt{36} = 6$ is rational.
Hence, the square roots of positive integers $25$ and $36$ are not irrational. ( $5$ and $6$ respectively)

Suggest Corrections

171

Similar questions

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.

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.

Give three examples to show that square roots of all the positive integers are not always irrational.

Q. Assertion :

2

is a rational number. Reason: The square roots of all positive integers are irrationals.

Q. Are the square roots of all positive integers irrational?

Join BYJU'S Learning Program

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.

the square roots of all positive integers are not irrational. For example 9=3, 25=5, hence square roots of all positive integers are not irrational.For example,25=5 is rational.36=6 is rational.Hence, the square roots of positive integers 25 and 36 are not irrational. ( 5 and 6 respectively)