prove that the followings
are
irrational:

1/√2

good evening guys​

2 thoughts on “prove that the followings<br />are<br />irrational:<br /><br />1/√2<br /><br />good evening guys​”

1. Answer:

   Step-by-step explanation:

   assume that 1/[tex]\sqrt{2\\}[/tex] is rational

   1/[tex]\sqrt{2\\}[/tex]=a/b,where a and b are integers

   1/[tex]\sqrt{2\\}[/tex]=a/b

   [tex]\sqrt{2\\}[/tex]/1=b/a

   [tex]\sqrt{2\\}[/tex]=b/a

   b/a is rational,but [tex]\sqrt{2\\}[/tex] is irrational

   which cotradicts our assumption

   ∴ 1/[tex]\sqrt{2\\}[/tex] is irrational

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2. 1√2=ab Where a and b are co primes. Co-primes are the prime numbers which do not have a common root. So that we got 2 divides b2. Let b2=c where c in other numbers.

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