Prove that sqare2+3/2square is an irrational number
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2 + 3/ 2
Let 2 + 3/ 2 is a rational no.
2 + 3/ 2 = p/q where p & q both are co- prime whose h.c.f. is 1
Now,
2 + 3/ 2 = p/ q
3/ 2 = p/q - 2
3/2 = p - 2 divided by q
therefore our assumption is wrong becoz irrational never = rational,
So 2+ 3/ 2 is an irrational no.
Let 2 + 3/ 2 is a rational no.
2 + 3/ 2 = p/q where p & q both are co- prime whose h.c.f. is 1
Now,
2 + 3/ 2 = p/ q
3/ 2 = p/q - 2
3/2 = p - 2 divided by q
therefore our assumption is wrong becoz irrational never = rational,
So 2+ 3/ 2 is an irrational no.
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