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### Simplifying Square Roots

```
Date: 9/5/95 at 19:14:17
From: Richard Seguin

____
1/2 \/ 24

I know this may seem simple but I am tring to work ahead of my class. How
would you go about working this out?

Richard Seguin
```

```
Date: 9/8/95 at 12:58:46
From: Doctor Ken

Hello!

The 1/2 sitting out front is just a number that we can multiply by at the
end.  So I won't worry about it now.  To simplify the Sqrt{24}, see if you
can find any square factors in it.  Holy cow, 24 = 4 * 6 = 2^2 * 6.  So we
can pull squares out of the radical, like so:

Sqrt{24} = Sqrt{2^2 * 6}
= 2 * Sqrt{6}

And that's about as far as you can go.  Then you take that 2 and cancel it
with the 1/2, and the final answer is Sqrt{6}.

- Doctor Ken,  The Geometry Forum

```
Associated Topics:
High School Exponents

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