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### Conjugates with Square Roots

```
Date: 1/29/96 at 9:59:14
From: Anonymous
Subject: square root and conjugate

I don't understand what conjugates are in relation to square
roots, and what good they do.
```

```
Date: 3/27/96 at 23:54:26
From: Doctor Jodi
Subject: Re: square root and conjugate

Hi there!

Okay, let me write square root of x as x^1/2

Now, suppose I have a fraction:

1
------------
2^(1/2) -3

Suppose I want to get the square root out of the denominator....

To do that, we can use the conjugate (square root of 2 PLUS 3):

1                 2^(1/2) + 3
-----------   *    ---------------
2^(1/2) -3          2^(1/2) + 3

Do you see what we'll get?

Write back if you have more questions or want to know more.

I hope this helps.

-Doctor Jodi,  The Math Forum

```
Associated Topics:
High School Exponents

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