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

Answer:

no. the square root of only PRIME NUMBERS are irrational

prime number means a number which is not divisible by any other number other than itself and 1

eg. 7 is a prime number because it is not divisible by any number other than 7 ( itself ) and 1

rational number is a number which can be represented in p/q format, where p and q are integers and q is not equal to 0

Step-by-step explanation:

square root of a number which is rational is the square root of 4

$\sqrt{4}$ = 2, which is rational number

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)