Question

prove that 3+2 root 5 is irrational​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

3+2√5 is an irrational number because √5 is irrational.

Let us assume that 3+2√5 is a rational number&

a&b are coprime numbers a/b not equals to 0

so,3+2√5=a/b

2√5=a/b-3

2√5=a-3b/b

√5=a-3b/2b

This shows that 3+2√5 is a rational number

But it contradicts the fact that√5 is irrational.