Question

Prove that 2√3+√5 is an irrational number

Answer 1

let 2√3+√5 be a rational no.

2√3+√5=p/q

when we add -2√3 in the equation

then

2√3-2√3+√5=p/q

√5=p/q

but √5 is irrational

so it contradicts our assuming

so,given no. is irrational

Answer 2

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