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Question

Prove that 2+3 is irrational. [3 MARKS]

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Solution

Concept : 1 Mark
Application : 2 Marks

Let 2+3 be rational number say 'x'

x=2+3

x2=2+3+26

x2=5+26

6=x252

As x, 5 and 2 are rationals,

x252 is a rational number.

6=x252 is a rational number

which is contradiction to the fact that 6 is an irrational number.

Hence our assumption is wrong.

2+3 is an irrational number.


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