Perfect Squares and Square Roots

This concept is going to be really important as we move into working with 2 and 3D figures! Remember that "squaring" something is the same thing as taking it to the second power. What that means is that you take a nubmer and multiply it by itself twice. The answer you get when you square a number is called a PERFECT SQUARE. Here are some examples and practice on squaring things.

So, what is 3²??

3 × 3 = 9

So the perfect square is 9.


So what is 9 sqaured?

9 x 9 = 81

So the perfect square is 81. 


Practice

	Expanded  _ •_	Perfect Square	Square Root  √
22  squared
	13 x 13
		225
			17
	4 x 4

Square Roots
When you think of the radical sign, you should ask yourself, "What number multiplied by itself gives me the number under the radical sign?" Always be looking for the perfect squares!

Watch this video for help!

Go here for practice!



Imperfect Square Roots
If it isn't a perfect square, use estimation! Here are the steps:

1. Find the perfect squares the number under the radical is between
2. Take the square root of the perfect squares.
3. You have found the range of what your square root is!

Watch this for help!

Go here for practice!