Show that √p +√q is irrational.
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Solution:Let us suppose that √p + √q is rational.Let √p + √q = a where a is rational.=> √q = a – √pSquaring on both sides we getq = 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.
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ATP (Adenosine triphosphate) is the energy currency in living organisms. It is produced at the end of respiration and is produced in the mitochondria. It is produced during photosynthesis in the leaves (in chloroplast) in autotrophic nutrition
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