It's called a Roosevelt dime rather than a liberty dime, and it's worth 10 cents for the copper-nickel coin underneath and about a penny or 2 for the gold plating. The US never minted gold dimes - they'd be worth A LOT more than 10 cents, after all!
The term "5 dollar dime" is confusing. Dimes from 1997 are worth 10¢. If you have a normal Roosevelt dime that has been gold plated, it's still only worth 10 cents. If you are referring to a dime-sized coin that has a $5 denomination, please post a new question indicating the country that issued it and a description of any wording on the coin. That would make it much easier to ID.
It's either a novelty coin or a gold plated dime. If it's only a gold plated dime it's worth around $2.50. If it's a novelty coin it's worthless.
It is gold plated and therefore is only worth what a normal (damaged) 1941 dime is worth, which is about $2.20 or so in scrap silver.
The US mint did not make this coin, it was done outside of the mint an is gold plated or copper plate, but it still has value for the silver under the plating. It's worth about a dollar.
There are no gold dimes.
US dimes were never made of gold.
10 cents. It's a novelty coin.
U.S. dimes have never been made of gold, nor were there any gold coins minted in the 1960s. What you have is a gold-plated dime, not worth anything to collectors above face value.
The US Mint never issued a gold Roosevelt dime. Any such coin as been gold plated at some time after it left the mint. Also, a dime can tarnish to a golden hue if in the right environment.
This did not come from the mint like that. It has to be gold plated. No collector value.
The U.S. has never struck a gold dime. A coin that size made of gold would be worth many times more than 10 cents. Your coin is an ordinary silver dime that was plated for use in jewelry or something similar. As such it's only worth its melt value, about $2 as of early 2011.