Question

Prove that
$\sqrt{7}$
is irrational?
plz give me answer step by step...​

Answer 1

let √7 is a rational number
so √7 = p/q where q is not equal to zero & p , q co-prime means they only have 1 as common factor
p = √7q
squaring on both sides we get
p^2 = 7q^2
q^2 = p^2/7
7 divides p^2
7 divides p also
there p & q have 7 as common factor other than 1
so our assumption √7 is a rational is wrong
so √7 is an irrational number hence proved

Answer 2

Solution is in the attachment ⤴

HOPE IT HELPS ☺

Regards,

iLLuSioN❤