Question

: Show that 5 - V3 is an irrational number.
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Answer 1

Answer:

Let us assume the given number be rational and we will write the given number in p/q form

⇒5−

3

=

q

p

⇒

3

=

q

5q−p

We observe that LHS is irrational and RHS is rational, which is not possible.

This is contradiction.

Hence our assumption that given number is rational is false

⇒5−

3

is irrational