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Prove that √p and √q is …

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Prove that √p and √q is irrational if p and q are prime number

Posted by Sahil A Tripathi 5 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Abhishek Kumar 5 years, 5 months ago

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. Read more on Brainly.in - https://brainly.in/question/2815918#readmore

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CBSE > Class 10 > Mathematics