Question

Prove that square root p + square root q are irrational where pans q are primes

Answer 1

Answer:

iceland gopal kajal kshan naukari janm

Answer 2

Answer:

Here is your answer dude,

Let us assume that

$\sqrt{p} + \sqrt{q} \: be \: rational \:$

and are in the form of a/b where and b are integers and co primes.

Now,

$\sqrt{p} + \sqrt{q} = a \div b$

Squaring both the sides

p+2pq+q = a²/b²

b²(p+2pq+q) =a²

This means that b² is a factor of a²

that means b is a factor of a

This is contradictory to our statement hence what we assumed is wrong this proves that root p+ root q is irrational.

Hope this helps you please mark my answer as brainliest