Given,

$\sqrt{\text{898}}\times {\text{(12.005)}}^{\text{2}}\text{+? = 5000}$

It can also be approximated as

= $\sqrt{900}\times (12{)}^2+?=5000$

= 30×144+?=5000

= 4320+?=5000

= 5000-4320

= 680

Hence, Option A is correct.