Question

prove that rote3+rote 5 is irrational​

Answer 1

Answer:

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Step-by-step explanation:

let root 3+root 5 be a rational no and is equals to r where r is a positive integer

R3+R5=r

on squaring both sides [R=root]

(R3+R5)^2 = r^2

3+5+2R15=r^2

2R15=r^2-8

R15=(r^2-8)/2

since r is a positive integer and [r^2-8]/2 is rational no but since root 15 is an irrational no and equals to it so it contradicts the fact that root 3 + root 5 is rational hence root 3+ root 5 is irrational.