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### Square Root of 64

```
Date: 6/20/96 at 15:53:11
From: Anonymous
Subject: Square root of 64

I would like to know the square root of 64. We just started to learn
square roots, and my teacher did not explain very well.

Thanks!
```

```
Date: 6/21/96 at 11:36:41
From: Doctor Beth
Subject: Re: Square root of 64

A square root of a number is another number, that when you multiply it
by itself, gives you the first number.

I know the last sentence sounds a bit confusing, so I'll give you a
few examples and then it will make sense.

If I want to know the square root of 4, I ask myself "what multiplied
by itself gives me 4?"  Then I check, and say 2 x 2 = 4, so the square
root of 4 is 2.

I can do this with any number I please, but only a few give nice
integer answers.  Here's another example:  to find the square root of
16, I ask myself (I talk to myself a lot) "what multiplied by itself
gives me 16?"  I know it's not 3 (since 3 x 3 = 9) and then I check 4,
and know I've found that the square root of 16 is 4 since 4 x 4 = 16.
Now I think that you can figure out the square root of 64!

Now, if you haven't learned about negative numbers yet, you can ignore
eventually.) I would be leaving something out if I didn't tell you
that all positive numbers have two square roots, a positive one and a
negative one.  This is because a negative times a negative is a
positive, so (-2) x (-2) = 4, so another square root of 4 is (-2).  In
the other example from the first paragraph, you can guess what the
other square root of 16 would be - it's (-4).

-Doctor Beth,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```
Associated Topics:
Middle School Negative Numbers
Middle School Square Roots

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