Question

prove that2/route 7 isirrational​

Answer 1

we know the fact that

$\sqrt{7 \: } \: is \: irrational$

NOW let 2root7 to be rational

so

2root7=a/b

[where a and b are positive integers]

and here we get

root7= a/2b

which means root7 is rational too,

but thos contradicts the fact that root7 is irrational this contradiction arises because of our misconception that 2 root7 is rational, therefore we conclude

2 root7 is irrational