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7th Grade Math / Lesson 3: Square Roots

SQUARE ROOTS
What will we be learning in this lesson?


  • In this lesson you will learn how to find square roots.

    Vocabulary words are found in this purple color throughout the lesson. Remember to put these in your notebook.


SQUARE ROOTS


Square root:  If 3*3 = 9, then 3 is the square root of 9. 
                        If 2*2 = 4, then 2 is the square root of 4.
                        If 5 2 = 25, then 5 is the square root of 25.
 
These are examples of perfect squares because the square root values are whole numbers. Some square roots are decimals and need to be found with the use of a calculator. We will not look at those at this time.
 
Other examples:  Square root of  1  is 1  because 1*1 = 1
                             Square root of   4 is 2   because 2*2 = 4
                             Square root of   9 is 3       Can you continue this pattern?
 
 


SQUARE ROOTS
 


The square root of 16 is 4
The square root of 25 is 5
The square root of 36 is 6
The square root of 49 is 7
The square root of 64 is 8
The square root of 81 is 9
The square root of 100 is 10
 
This is just the beginning of the list of perfect squares.
 
Square roots can also be negative, but this is a topic that comes at a later time. For now, we will be dealing with the positive square root values.
 
 


SQUARE ROOTS
 


v This is the symbol for square roots. It is called a radical symbol.
 
                v36 This is asking for the square root of 36, which is 6. Because 6*6 = 36
 
  • When working out a problem with a square root symbol in it, evaluate the square root part first.
4 *   v 25     + 6     
4 * 5 + 6
20 + 6
26