Prove there are no natural numbers a and b such that sqrt(a+b) = sqrt(a) + sqrt(b)...

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Question

Prove there are no natural numbers a and b such that sqrt(a+b) = sqrt(a) + sqrt(b)
Prove By CONTRADICTION.
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Answer 1

Answer #1

if possible 7 a, b En sot Vatb = Vatro 1 squaring both sides atb = at bt vab Vab=0 » But which there & b ab =0 ☆ either a=o O

Answer 2

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