Q. 4 A

Prove that following numbers are irrational:


Answer :

Let be a rational number.

Therefore,, where g. c. d(a, b) = 1 and a, b N.




Now, squaring both sides


……. eq (1)


5 | a2


5 | a


Now, let a = 5k, k N



So, b = 5k


5 | b



It is a contradiction as g. c. d (a, b) = 1


So, our assumption is wrong.


Therefore, is irrational.


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