How to Prove That Square Root 2 is an Irrational Number - A Quick Maths Video

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Find out how to prove that the square root of 2 is an irrational number with this quick maths video. Use proof by contradiction to prove this important result.
#doingmaths #root #irrational #number #maths
  1. DoingMaths
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Комментарии
Автор

Can we assume p and q not in lowest terms? For a rational number, "in lowest terms" is not a compulsory condition.
4/6 has a common factor of 2 but it is still a rational number.

kiip
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1:18 How is p² a multiple of 2? Can you explain in simple terms?

argustiny.
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My question is, how can we use Pythagorean's equation at all? Doesn't this proof by contradiction work for Pythagoreans rule entirely? Whose to say what units of measurement are used, where the length isn't a unit of 1? Since 1^2 + 1^2 is 2, and c + sqrt2?
is c^2 always irrational I guess?? What is the proper definition of 1 in terms of length???

SGEDKlNG
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why p and q must be in the most simplified form we made it up

erentahayalcn