Question

Given that √5 is irrational prove that 3+2√5 is irrational​

Answer 1

Answer:

Given √5 is Irrational, to prove 3+2√5 is irrational

Explanation:

Let us assume that 3+2√5 is rational

Hence 3+2√5 can be written in form a/b

where a and b (b≠0) are co-prime

∴ 3+2√5 = a/b

2√5 = a/b - 3

2√5 = a-3b/3b

√5 = 1/2 x a-3b/b

√5 = a-3b/2b

but it is given that √5 is irrational

since Rational ≠ Irrational

This is contradiction

∴ Our assumption is incorrect

Hence 3+2√5 is Irrational

Answer 2

Answer:

It is the correct answer.

Step-by-step explanation:

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