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how do you simplify the square root of 24?

 Oct 9, 2017
 #1
avatar+258 
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i dont think you can

 Oct 9, 2017
 #2
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So its a surd?
 

Guest Oct 9, 2017
 #5
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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.

TheXSquaredFactor  Oct 9, 2017
edited by TheXSquaredFactor  Oct 9, 2017
edited by TheXSquaredFactor  Oct 9, 2017
 #3
avatar+5265 
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The square root of 24 comes out to a complicated decimal, so the simplest it can be is square root of 24.

 Oct 9, 2017
 #4
avatar+2446 
+1

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=46=46

 

As you can see, the square root of 4 simplifies to 2. 24=26

 Oct 9, 2017

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