Question

Prove that root 3+root 5 is not a rational number

Answer 1

Answer:

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Answer 2

Answer:

3+√5 is irrational

Step-by-step explanation:

Let's do this by assumption method -

let's take 3+√5 in the form of p/q and p and q are co primes

now,

3+√5 = p/q

√5 = p-3/q

since p-3/q is in the form of p/q

therefore, √5 is rational

But this contadicts the fact that √5 is irrational

Therefore, 3+√5 is irrational.

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