Question

prove that root 23 is an irrational no

Answer 1

here is ur answer.....

Answer 2

Assume it was rational then √23

√23 = a/b, 

where a, b are integers, 

and 

therefore 23 = a²/b². 

So a² = 23b². 
Now √a² = a = an integer, 

and 

therefore √23b² = integer. 

√23b²= b*√23

√23 is not an integer,  so the assumption was wrong. 

Therefore √23 is not rational.