Perfect square??

Asked by sonali221994 | 12th Dec, 2009, 04:40: PM

Expert Answer:

4n+2=2(2n+1)

when n is a natural number, 2n+1 has to be an odd number and 4n+2 has to be an even number

the prime factors of 4n+2

 are 2 and the prime factors of 2n+1

since 2n+1 is an odd number, all its factors will be odd numbers

so

when you take the square root of the given number,,whether the odd number is a perfect square or not , 2 will be having irrational square root which makes the square root  of the given number as an irrational number and  not a real number.

 

Answered by  | 13th Dec, 2009, 03:49: PM

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