Question

prove that √p+√q is an irrational where p and q are primes class 10

Answer 1

Hey!!!!!

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By the method of Contradiction,

=> let √p + √q be rational number

Then √p + √q = x where x is a rational number

=> √p = x - √q

We know √p is Irrational but x is rational

=> This contradicts the fact that x is rational.

Thus our assumption is false.

=> √p + √q is not rational

=> √p + √q is thus Irrational

Hence Proved

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Hope this helps ✌️