Question

prove that 2-√ 5 is irrational ​

Answer 1

Answer:

here is your answer

Step-by-step explanation:

hope it helps you.

Answer 2

Answer:

Step-by-step explanation:

to prove- 2-root 5 is irrational

proof- let,2-root 5 be rational

therefore, 2-root 5=a/b where a and b are coprime

by solving,

root 5=2-a/b

root 5=2b-a/b

therefore, 2b-a/b is rational, therefore root 5 is also rational

but this contardicts the fact that root 5 is irrational

therefore this contradiction has arisen due to wrong assumption

therefore 2-root 5 is irrational