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### Square Root Symbol

```Date: 04/29/2002 at 14:08:55
From: Jason

Why is there a 2 in the index of a radical? I have searched many
books but none of them explain it so I can understand it.
```

```
Date: 04/29/2002 at 14:30:18
From: Doctor Ian

Hi Jason,

Do you mean the little two in the crook of the symbol?

_____
2|
\ |  8
\|

The two indicates a square root; a three would indicate a cube root,

_____
3|
\ |  8
\|

and in general,

_____
n|            (1/n)
\ |  x      = x
\|

Note that if n isn't specified, a default value of 2 is assumed.

If you're not familiar with the connection between roots and
exponents, take a look at

Properties of Exponents
http://mathforum.org/library/drmath/view/57293.html

Does this help?

- Doctor Ian, The Math Forum
http://mathforum.org/dr.math/
```
Associated Topics:
High School Square & Cube Roots
Middle School Square Roots

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