Question

X = 2 / √10 - √8, Y = 2 / √10 + 2√2 then (x -y)^2=?

Answer 1

by substituting x and y values directly in the given question you can obtain the above answer

Answer 2

hello users ....
solution:-
here,
x = 2/(√10-√8)
and
y= 2/(√10+2√2)

now,
x-y = 2/(√10 -√8) - 2/(√10+√8)
..(because 2√2 =√8 )

=> x -y = 2[ 1/ (√10 - √8) - 1/ ( √10 + √8)]

=> 2[{√10 + √8 - (√10 - √8) } / (√10 +√8)(√10-√8) ]

=> 2[{√10 + √8 - √10 + √8) } / (√10 +√8)(√10-√8) ]

=>2× [ (√8+√8 )/ (√10² - √8² ) ]

=> 4√8 / (10-8 )

=> 4√8/ 2 = 2√8

now,
(x-y)² = (2√8 )² = 4× 8 = 32 Answer

⭐ hope it helps :)