Square Roots

Page 1

Only the square roots of square numbers are rational

When you see an exponent of 2 on a number, such as 32, you can either say, “three to the second power” or “three squared.”

A number that is the result of squaring a number is called a perfect square. In this example, 9 is a perfect square because it is the result of squaring 3.

6 Squared means 6 * 6 which = 36

square root

a factor of a number that, when multiplied by itself, results in the number;

Below is what a Square Root Looks Like

For example, when 5 is multiplied by itself, we get 25. Therefore, 5 is the square root of 25. To show that the square root of 25 is equal to 5, we write what we see above

Another example: 8 is the Square Root Of 64

Below is the square root symbol (Radical Sign). You'd put 64 on the inside the = 8

If you put in 48, it wouldn't be a perfect square because there is nothing that can multiply itself to get 48.

Every positive real number has two square roots, one positive and one negative.

The nonnegative square root of a number is called the principal square root .

25 has TWO square roots

5 * 5 and -5 * -5

So in this case 5 is the principal square root

You can also Multiply! For YOU Kenae ONLY, Square roots on a computer will be represented like....this

V. So. V4 * V9

Square root of 4 = 2

Square root of 9 = 3

So 2 * 3 = 6

OR.....

Look at this problem

V 4*9

First Multiply

4 times 9 = 36

Now find square root of 36

It's 6!

It can Even Do Division! TAKE A LOOK ;3

V100/4

= 25

Square root of 25 = 5

Now lets say you have a square root with division but it's two square roots

like

V100

_____

V4

Square root of 100 = 10

Square root of 4 = 2

So now it looks like this

10

___

2

10 Divided 2 = 5 :D