Question

prove that the followings
are
irrational:

1/√2

good evening guys​

Answer 1

Answer:

Step-by-step explanation:

assume that 1/$\sqrt{2\\}$ is rational

1/$\sqrt{2\\}$=a/b,where a and b are integers

1/$\sqrt{2\\}$=a/b

$\sqrt{2\\}$/1=b/a

$\sqrt{2\\}$=b/a

b/a is rational,but $\sqrt{2\\}$ is irrational

which cotradicts our assumption

∴  1/$\sqrt{2\\}$ is irrational

Answer 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.