How do you multiply radical 2 times radical 2?

The product is 2

Radical 2 or square root of two can be written as ##sqrt2##

so

##(sqrt2)*(sqrt2)##

= ##(sqrt4)##

= 2

another solution:

##(sqrt2)*(sqrt2)##

= ##(sqrt2)^2## [square root sign will be cancelled]

= 2