Question

prove that 3 minus root 5 is irrational​

Answer 1

Answer:

ktgostosot to be at work by then but I will be there at me and I

Answer 2

Step-by-step explanation:

3-√5

let us assume to contrary that 3-√5 is rational

then there must exist co-primes a and b (b should not equal to 0)

3-√5=a/b

-√5=a/b-3

√5=-a+3b/b

since,

a+3b/b is rational

hence,

√5 is also rational

but this contradicts the fact that √5 is irrational

hence our assumption is incorrect

and, 3-√5 is also irrational.