Question

# Show that 5 - 73 is irrational.

Solution Therefore, 5-
= 3
e
a
56-a
Rearranging this equation, we get 13
to
Since a and b are integers, we get 5 -- is rational, and so
V3 is rational
But this contradicts the fact that V3 is irrational.
This contradiction has arisen because of our incorrect
assumption that 5-13 is rational.
So, we conclude that 5-13 is irrational.

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