Q. 123.7( 23 Votes )

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Answer :

Given: (5 + 3)

To prove: It is irrational.


Assume that 5 + 32 is rational

where a and b are integers.

we know that a, b, 3 and 5 are integers and they are also rational {i.e RHS is rational}
therefore2 will be rational.
but we know that2 is irrational.
there is a contradiction
so, 5 + 32 is an irrational number.

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<span lang="EN-USRS Aggarwal - Mathematics