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Not only water, no liquid is compressible. That is the basics of hydraulics, thanks to Pascal. He only discovered that pressure when exerted at one point of a liquid within a container (closed system) it spreads evenly at all area and the whole liquid is evenly pressurized.

Now, compression is possible when only there is intermolecular space is reduced, like in gas. Even solids could be compressed, but only their shape will change.

Compression should make a change in the volume of a substance in given space. And therefore, liquids can not be compressed. (the change could be very very insignificant even after applying huge pressure in terms of Giga Pascals)

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