Question

prove that 5+√5 is an irrational number​

Answer 1

Answer:

Step-by-step explanation:

Let us assume 5+√5 is rational

So, (5+√5)^2 is also rational.

=> 25+10√5+5.

=> 30+√5 is irrational. Because the sum of a rational & a irrational number is always irrational. Therefore our assumption is wrong. Hence 5+√5 is irrational.