Default [Q] Can I root update-kindle-8.4.8_4849120?

I'm picking up a used Kindle HD 8.9. I'm not sure what version of SW is on it, but can I root and install Playstore on update-kindle-8.4.8_4849120 in case it's at the latest already?
PHONE: Samsung Galaxy Note 3 (SM-N900)
ROM: [KitKat][4.4.2] Stock N900UBUDND1 APR 17, 2014 CF-Auto-Root
RADIO: N900UBUDNC1
KERNEL: Stock
RECOVERY: CWM 6.0.4.7
WARRANTY BIT: 1

TABLET: Kindle Fire HD 8.9 Stock

STATUS: Flashing Addict!





Quote:
“He who answers a matter before he hears it, It is folly and shame to him.” Proverbs 18:13