Question

prove that 7-2√2 irrational

Answer 1

hey dear here's ur answer...
7- 2√2..
is irrational..
as value of √2 is irrational(1.41421356..........)
so 2*√2(2.82842712.....) is also irrational..
and of course..7-2√2 will be irrational..
hope my answer helped..

Answer 2

Let 7-2_/ 2 be a rational no.
=> 7-2_/2 =p/q
2_/2 =p/q -7
Irrational no is neverequal to a rational no .
————-——> <———————
Therefore, 7-2_/2 is irrational number.
Hope it helps!!
Cheers!!