If `4 xx 7` means `sqrt4 div 7 ^(2) and (4 + 1)` mens `4 ^(2) -1 ^(3),` then the value of `9 xx ( 5 +2)` is :

Options

A. `(9)/(7)`
B. `(3)/(289)`
C. `126`
D. `(3)/(129)`

Answer

D

Explanation

Using the symbols correctly as given in the question , we get
`9 xx (5 +2) = sqrt9 div (5 +2) ^(2)`
`= sqrt9 div ( 5 ^(2) - 2 ^(3)) ^(2)`
`= pm3div (25 - 8) ^(2)`
`= pm 3 div (17) ^(2)`
`= (pm 3)/(289)`
Therefore, the value of the given expression = `(pm3)/(289).`