Question

prove that root 6 + root 2 is irrational number ​

Answer 1

Step-by-step explanation:

1. let us first assume √6+√2 is a rational number
2. therefore, it can be written as p/q, assuming p and q are co prime where q=/=0
3. so, √6+√2 = p/q
4. squaring on both sides,

6+2√12+2 = p/q

(putting all rational numbers in RHS)

√3= p/4q - 8

LHS is irrational while RHS is rational. This contradiction has occurred due to it incorrect assumption that √6+√2 is rational

therefore, √6+√2 is irrational.

Answer 2

Step-by-step explanation:

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