Question

prove that 5 - root 5 is an irrational number

Answer 1

Step-by-step explanation:

let 5 - √5 be rational.

5 - √5 = a/b

5 - a/b = √5

Here, √5 is irrational. Thus, 5 - a/b is also irrational.

so we can conclude that 5 - √5 is an irrational number.

Hope it helps :p