Question

Prove that rootm+rootn is irrational where m,n are primes

Answer 1

Hi,

Here
M, n are primes

Lets assume that root m and root n is rational
Therefore it can be expressed in p/q form

$\sqrt{m} \: + \sqrt{n \:} \: \: = \: p \div q$
Lets square both sides

And
If you have any doubt see the solution shown in pictures

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