1. 7.1 Day 1 - Finding Square Roots
Essential Question: How can we find the square roots of a number?

2. Vocabulary
Square Root: A number that when multiplied by itself equals the given number.
Every positive number has a positive and negative square root! Except Zero only has one square root which is zero.
Perfect Square: A number with integers as its square roots.
: A radical sign
Radicand: The number under the radical sign

3. Example 1
Find the two square roots of the number 36
196
289

4. Example 2 Find the square root(s) − 𝟏 ± 𝟒 𝟐𝟓 𝟐.𝟐𝟓 −𝟒 ( 20 ) 2
− 𝟏
± 𝟒 𝟐𝟓
𝟐.𝟐𝟓 −𝟒
( 20 ) 2
Not a Real # - nothing times itself can be neg

5. You try: Find the two square roots of the number. 64 144 121
Find the square root(s).
± 𝟖𝟏
− 𝟗 𝟔𝟒
−𝟐𝟓

6. Example 3
A square window has an area of 169 𝒊𝒏 𝟐 . How wide is the window?
Write and solve an equation to find the area of the window.
Must write equation 1st!!!
A =s2
169=s2
169 = s2
169 = s
Add graph to show ordered pairs and not linear
13in = s
Use the positive square root; a negative length has
no meaning. The window is 13 in wide.

7. On Your Own
Find the dimensions for the square with an area of 289 𝑓𝑡 2
A =s2

9. 7.1 – Day 2 Square Roots and Order of Operations
Essential Question: How can we use order of operations to solve problems with square roots?
My teacher asked me why my shoes showed the square root of the answer.

10. Vocabulary - Review
Square Root: A number that when multiplied by itself equals the given number.
Every positive number has a positive and negative square root! Except Zero only has one square root which is zero.
Perfect Square: A number with integers as its square roots.
: A radical sign
Radicand: The number under the radical sign

11. Example 1
Evaluate Each Expression
5 𝟑𝟔 +𝟕
( 81 ) 2 −5

12. On Your Own
Evaluate Each Expression
12 −3 𝟐𝟓
𝟏𝟓 − ( 𝟒 ) 𝟐

13. Example 2
Evaluate the expression
𝟓+𝟒 𝟏𝟎𝟎 𝟏𝟔 −𝟏𝟓

14. On Your Own
Evaluate Each Expression
𝟔.𝟕𝟔 +𝟕5.4
3 𝟏𝟔 −𝟓
2( −5)

15. Example 3

16. On Your Own

17. Homework Set up: while your computer turns on.
You must submit your assignment from last night before you work on today’s assignment!