Question

Prove that 2 - 3 root 5 is irrational number?

Answer 1

let 2-3√5 is rational number

we can write on form of p/q

where p& q are co prime number

p/q =2-3√5

2 - p/q = 3√5

2- p/3q=√5

2- p/3q is rational number bcoz

p& q are co prime number

but √5 is irrational number

so our assume is not correct

then

2-3√5 is irrational number

hence proved

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