Lesson Plan - Get It!
Don't roots only grow in the ground? No way! They come up in math topics, too!
Before you jump into square roots, let's make sure you understand what a perfect "square" number is.
A perfect square is a number that is the product of two equal integers — or, in other words, it is the ANSWER when the same integer is multiplied times itself.
For example: 4 x 4 = 16. The 16 is a perfect square.
- Can you name three more perfect square numbers?
(If you are stumped, just pick any integer and multiply it times itself. The ANSWER is a perfect square.)
A number is ONLY a perfect square if the square root of it is an integer (no decimals). But, what are square roots? Watch this Math Antics – Exponents & Square Roots video to review exponents, find out what a square root is, and to understand how they connect:
- What are two things you learned from the video?
- How do exponents and squares relate?
Now, grab your math notebook and get ready to take a few notes and try some problems.
- So, what is a square root?
Square root A number that produces a specific quantity when multiplied by itself.
The symbol to take the square root looks like this √ and is called a radical.
To find the square root:
- Ask yourself, "What number times itself equals the number given?"
- Punch the number in a calculator and hit the square root button.
Some work out very "neatly," while others have a long decimal answer.
||√16 = 4
||4 x 4 = 16
||√144 = 12
||12 x 12 = 144
||√28 = 5.29....
||√212 = 14.56....
As noted in the video, it is also possible to take the 3rd root of a number 3√, 4th root of a number 4√, the 5th root of a number 5√, and so on. You use the radical symbol with a number just above it.
It means, "What number can you take times itself that many times (the number above the radical sign) to get the given number?"
- Think: What number times itself 3 times is 125?
||5 x 5 x 5 = 125
Now that you have had a chance to learn about perfect square numbers and square roots, it is time for a little practice. Let's see just how well you have "Got It?" in the next section!