Question

prove that following number are irrational number 2/√7​

Answer 1

Answer:

Hey mate, here's ur answer. . .

Step-by-step explanation:

To prove 2/root 7 is irrational, you have to show that root 7 is irrational, as you know that when a rational number is divided by irrational no. then the no. obtained is irrational. We can do this by method of contradiction. ... => 7 is also a factor of q^2 and thus a factor of q.

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Answer 2

Answer:

let 2/√7 be a rational no. ,which can be written in the form of p/q

p/q = 2/√7

p= 2q/√7

we find above that p is a rational no.

but √7 is not a rational no.

so,

2/√7 is an irrational no.