Q16 of 16 Page 5

Prove that 5 – √3 is an irrational number.

We have to prove 5–√3 is a rational number

Let’s assume the opposite, i.e. 5–√3 is rational number


Can be written in the form of


Hence,






So is an irrational number and is a rational number


Since rational ≠ irrational


So, our assumption is wrong, So, is a irrational number.


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