Question
Sat September 08, 2012 By:
 

If it is said that if P is a prime number, then root of p is an irrational number. Butif we take 6 which is a composite number and not a prime number , the root of 8 is still irrational. How?

Expert Reply
Sun September 09, 2012

It is true that if p is a prime number, then root of p is an irrational number. But it is not true that if c is a prime number, then root of c is a rational number. Root c may be either a rational number or an irrational number. If c is a square composite number, then square root of c is a rational number and if c is not a square composite number, then square root of c is an irrational number.

 

For example, square root of 16 (a square number) = 4 is a rational number, and square root of 10 (not a square number) is an irrational number.

 

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