Question

show that 5 minus root 3 is irrational ​

Answer 1

Answer:

ANSWER

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

⇒5 − root 3=p/q

⇒root 3 = 5q−p/q

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 − root 3  is irrational