Question

Show that 5-√3 is irrational.​

Answer 1

Step-by-step explanation:

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

Answer 2

I hope it's help you please mark me brain list