Question

prove that √p+√q is irrational where p, q are primes

Answer 1

hello...


A rational number can be written in the form of a/b

so

√p + √q = a/b

√p = a/b - √q

√p = ( a - b √ q ) /b

it is a rational number ...

So √p is also rational number

So it contradicts that √p + √q is irrational number
.
So it is false that it is irrational number

thank you...


☺

Answer 2

A rational number can be written in the form of a/b

so

√p + √q = a/b

√p = a/b - √q

√p = ( a - b √ q ) /b

it is a rational number ...

So √p is also rational number

So it contradicts that √p + √q is irrational number
.
So it is false that it is irrational number

thank you...


☺

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