Question

Prove that root p + root q is irrational​

Answer 1

Step-by-step explanation:

ANSWER

Let us suppose that √p + √q is rational.

Let √p + √q = a, where a is rational.

=> √q = a – √p

Squaring on both sides, we get q = a2 + p - 2a√p

=> √p = (a2 + p - q)/2a, which is a contradiction as the right hand side is rational number, while √p is irrational. Hence, √p + √q is irrational

hope this helps you!!

Answer 2

Answer:

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