(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Suppose a is irrational, prove√(1+a) is irrational.

2. Relevant equations

A number is rational if it can be expressed as p/q, p,q integers with q≠0

3. The attempt at a solution

I can reason through it intuitively but not sure how to demonstrate it formally. Any help or advice would be greatly appreciated

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# Calculus theory proof- Suppose a is irrational, prove√(1+a) is irrational.

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