1. Squares and Square Roots
10.1
Find the value of square roots
Estimate square roots
Faded picture background with full-color video overlay (Intermediate) To reproduce the background effects on this slide, do the following:
On the Home tab, in the Slides group, click Layout, and then click Blank.
On the Insert tab, in the Media group, click Video, and then click Video from File.
In the left pane of the Insert Video dialog box, click the drive or library that contains the video. In the right pane of the dialog box, click the video that you want and then click Insert.
Under Video Tools, on the Format tab, in the Sizing group, click the arrow to the right of Size to launch the Format Video dialog box.
In the Format Video dialog box, select Size from the left pane, under Scale in the right pane clear the Lock Aspect Ratio box.
In the Format Video dialog box, select Size from the left pane, under Size and Rotate in the right pane, set the Height to 7.5” and set the Width to 10”.
On the Home tab, in the Drawing group, click Arrange, point to Align, and then do the following:
Click Align Center.
Click Align Middle.
Select the video. On the Home tab, in the Clipboard group, click Copy.
Also on the Home tab, in the Clipboard group, click the arrow below Paste, and select Paste Special. In the Paste Special dialog box, select Paste, and then under As, select Picture (JPEG).
Select the (JPEG) image. On the Home tab, in the Drawing group, click Arrange, point to Align, and then do the following:
Click Align Top.
Click Align Left.
Under Picture Tools, on the Format tab, in the Adjust group, click the arrow under Color, and then under Recolor select Tan, Background color 2 Light (third row, first option from the left).
On the Home tab, in the Drawing group, click the arrow below Arrange, and select Send to Back.
Select the video. Under Video Tools on the Format tab, in the Size group, click the arrow at the bottom right corner to launch the Format Video dialog box, and then select Crop in the left pane. In the Crop pane, under Crop Position do the following:
In the Width box, enter 3.17”.
In the Height box, enter 7.5”.
Also in the Format Video dialog box, select Glow and Soft Edges in the left pane. Under Soft Edges in the right pane, click the arrow next to Presets and select 25 Point.
On the Animations tab, in the Animation group, select Play.
Also on the Animations tab, in the Timing group, click the arrow to the right of Start and select With Previous.
Select the video. Under Video Tools, on the Playback tab, in the Video Options group, select Loop until Stopped.
To reproduce the text effects on this slide, do the following:
On the Insert tab, in the Text group, click Text Box, and then on the slide drag to draw your text box.
With the text box selected type in desired title text (“Title”).
Select the text. On the Home tab, in the Font group, click the arrow at the bottom corner to launch the Font dialog box, then on the Font tab do the following:
In the Text Font box, select Calibri from the Font list.
In the Font Style box, select Bold.
In the Size box, enter 36 pt, and then click OK.
Also on the Home tab, in the Paragraph group, select the Center Text icon.
Under Drawing Tools, on the Format tab, in the WordArt Styles group, click the arrow at the bottom right corner to launch the Format Text Effects box, and then select Reflection in the left pane and in the Reflection pane click the arrow to the right of Presets and under Reflection Variations select Half Reflection 4 pt Offset (second row, second option from left).
Also on the Format tab, in the Size group, click the arrow at the bottom right corner to launch the Format Shape dialog box, select Position in the left pane, and in the Position pane do the following:
In the Horizontal box, enter 3.16” from Top Left Corner.
In the Vertical box, enter 0.5” from Top Left Corner.
With the text box selected, type in desired body copy text.
Select the text. On the Home tab, in the Font group, select Calibri from the Font list, and then select 28 pt from the Font Size list.
Under Drawing Tools, on the Format tab, in the Size group, click the arrow at the bottom right corner to launch the Format Shape dialog box, select Position in the left pane, and in the Position pane do the following:
In the Horizontal box, enter 3.6” from Top Left Corner.
In the Vertical box, enter 2.25” from Top Left Corner.
Close the Format Shape dialog.

2. Square Root of a number is one of its two equal factors 𝒙 𝟐 =𝒚
Vocabulary
Square Root of a number is one
of its two equal factors
𝒙 𝟐 =𝒚
Radical sign is used to indicate a
positive square root

3. Every positive number has Both a negative and positive square root.
Examples
Find each square root
36 2) ) − ) - 49
5) ± ) ± ) −81

4. The first perfect square less than 22 is 16.
Estimate Square Roots A.
The first perfect square less than 22 is 16.
The first perfect square greater than 22 is 25.
Answer: 5

5. The first perfect square less than 319 is 289.
Estimate Square Roots B.
The first perfect square less than 319 is 289.
The first perfect square greater than 319 is 324.
Answer: –18

6. A.
A. 6
B. 7
C. 8
D. 9

7. B.
A. –6
B. –7
C. 6
D. 7
Example 2 CYP B

8. Round to the nearest tenth.
Use a Calculator to Estimate a Square Root
ENTER
2nd 57
Use a calculator.
Round to the nearest tenth.
Check for Reasonableness Since 82 = 64, the answer is reasonable.
Example 3

9. B.
A. 12
B. –12
C. –72
D. –20,736
Example 1 CYP B

10. C.
A. 4
B. –4
C. 4 and –4
D. 256 and –256
Example 1 CYP C

11. D. There is no real square root.
B. 8
C. –32
D. There is no real square root.
Example 1 CYP D

12. On a clear day, the number of miles a person can see to the horizon can be found by using formula 𝑑=1.22∙ ℎ , where d is the distance to the horizon in miles and h is the person’s distance from the ground in feet. The observation deck of Seattle’s Space Needle is 520 feet high. How far to the horizon can a person standing on the observation deck see?