Question

Prove 2+root2 is irrational

Answer 1

Answer:

let us assume that 2+√2 is rational and can be written as a/b where a and b are integers and b is not 0 so,

2+√2=a/b

√2=a/b-2

this implies that √2 is a rational number as a and b are integers

but this contradicts the statement that √2 is irrational

so our assumption is wrong and 2+√2 is irrational

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