are the square root of all postive integers irrational? If not, give an example of the square root of a number that is a rational number.
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No,the square root of all positive integers is not always irrational.
Example:-
- √4=2
- √9=3
- √196=14
- √225=15
So,we conclude that the square root of all positive integers are not always irrational.
More information:-
- A number which can be expressed in the form of p/q,where p and q are integers and q != 0 is called a rational number. Ex 5/6,19/70,7/5,9 etc.All whole and natural numbers are also rational numbers in other words every integer is a rational number. All terminating and all recurring decimals are also rational numbers.
- A number which cannot be expressed in the form of p/q.In other words a number which is non-terminating,non-recurring is termed as irrational number.Ex √2,√3,√5,√7 ,etc.
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