Yes, the square root of any number that is not a perfect square is irrational, which is also known as a surd.
For example, √4 is rational because the radicand is a perfect square while √8 is irrational because the radicand is not a perfect square.
The square root of 24 comes out to a complicated decimal, so the simplest it can be is square root of 24.
By simplification, I think the user wants to determine the simplest radical form of √24
The first step is to find a perfect square that is also a factor of the radicand. The radicand, in case you are wondering, is the number or expression underneath the square root symbol. The factors of 24 are 1,2,3,4,6,8,12,24
The 4 is bolded because it is a factor of 24 and also a perfect square.
√24=√4∗6=√4√6
As you can see, the square root of 4 simplifies to 2. √24=2√6