2. Lesson Menu Main Idea and New Vocabulary Example 1:Find Squares of Numbers Example 2:Find Squares of Numbers Key Concept:Square Root Example 3:Find Square Roots Example 4:Find Square Roots Example 5:Real-World Example

3. Main Idea/Vocabulary Find squares of numbers and square roots of perfect squares. square perfect squares square root radical sign

4. Example 1 Find Squares of Numbers Find the square of 5. 5 ● 5 = 25Multiply 5 by itself. Answer:The square of 5 is 25.

5. Example 1 CYP A.5.2 B.22 C.110 D.121 Find the square of 11.

6. Example 2 Find the square of 19. Find Squares of Numbers Method 1Use paper and pencil. 19 × 19 171 + 190 361 Multiply 19 by itself. Annex a zero. Method 2Use a calculator. 19361 ENTER x2x2 Answer:The square of 19 is 361.

7. Example 2 CYP A.40 B.200 C.400 D.440 Find the square of 20.

8. Key Concept 3

9. Example 3 Find Square Roots Find 6 ● 6 = 36, so What number times itself is 36? Answer:

10. Example 3 CYP A.2 B.4 C.8 D.16 Find

11. Example 4 Find Square Roots Answer: So, Find 676 26 ENTER2nd

12. Example 4 CYP A.17 B.23 C.27 D.33 Find

13. Example 5 GARDENS A city planner is designing a new community garden. The garden will be in the shape of a square and have an area of 1,225 square feet. What are the dimensions of the garden? The garden is a square. By finding the square root of the area, 1,225, you find the length of one side of the garden. Answer:The dimensions of the garden are 35 feet by 35 feet. 33 ● 35 = 1,225, so

14. Example 5 CYP A.2.25 ft by 2.25 ft B.15 ft by 15 ft C.25 ft by 25 ft D.112.5 ft by 112.5 ft PATIOS Philip is building a patio in the back yard. The patio will be square and will have an area of 225 square feet. What are the dimensions of the patio?