Choose the incorrect relation(s) from the following :
(I ) ` sqrt(6) + sqrt(2) = sqrt(5) + sqrt(3)`
(ii) `sqrt(6) + sqrt( 2) lt sqrt(5) + sqrt (3)`
(iii) `sqrt(6) + sqrt(2) gt sqrt(5) + sqrt(3)`

Options

A. I and iii
B. ii and iii
C. i
D. ii

Answer

A

Explanation

` sqrt16 = 2.45, sqrt2 = 1.41, sqrt5 = 2.24, sqrt3 = 1.73`
`sqrt6 + sqrt2 = 2.45 + 1.41 = 3.86`
`sqrt5 + sqrt3 = 2.24 + 1.73 = 3.97`
अतः `sqrt5 + sqrt3 gt sqrt6 + sqrt2`