On macOS Sierra, if I go to System Preferences > Bluetooth, and uncheck "Show Bluetooth in menu bar", the symbol remains stubbornly visible.
How can I make it invisible?
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Usually, rebooting the system fixes it.
Try holding down the Command key and using the mouse to drag the Bluetooth symbol off the menu bar. Alternately there is a check mark to uncheck in the bluetooth preferences in System Preferences.
You may also try to relaunch the Finder. Hold 'Alt/Option' key and right-click Finder icon in the Dock. Then select Relaunch command.