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Question

If `sqrt(5)` = 2.236, then the value of  `sqrt(5)/2 - 10/sqrt(5) + sqrt(125)`  is equal to


Options:
A .  5.59
B .  7.826
C .  8.944
D .  10.062
Answer: Option B

`sqrt(5)/2 - 10/sqrt(5) + sqrt(125)` = `(sqrt(5)^2 - 20 + 2sqrt(5) xx 5sqrt(5))/(2sqrt(5))`

                                                      =  `(5 - 20 + 50)/(2sqrt(5))` = `(35)/(2sqrt(5))`

                                                      = `(35)/(2sqrt(5))`  x  `sqrt(5)/sqrt(5)` =   `(35sqrt(5))/(10)`

                                                      =  `7/2`  x 2.236 =   7 x 1.118 =  7.826 




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