#1

#5**0 **

Yes, the square root of any number that is not a perfect square is irrational, which is also known as a surd.

For example, \(\sqrt{4}\) is rational because the radicand is a perfect square while \(\sqrt{8}\) is irrational because the radicand is not a perfect square.

TheXSquaredFactor
Oct 9, 2017

#3**0 **

The square root of 24 comes out to a complicated decimal, so the simplest it can be is square root of 24.

rarinstraw1195
Oct 9, 2017

#4**+1 **

By simplification, I think the user wants to determine the **simplest radical form **of \(\sqrt{24}\)

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.

\(\sqrt{24}=\sqrt{4*6}=\sqrt{4}\sqrt{6}\)

As you can see, the square root of 4 simplifies to 2. \(\sqrt{24}=2\sqrt{6}\)

TheXSquaredFactor
Oct 9, 2017