Chapter 3: Real Numbers and the Pythagorean Theorem
Section 3.1: Square Roots
perfect squares
squares of integers
1, 4, 9, 16, 25, ….
square root
one of a numbers two equal factors
= 5
= 10
radical sign
Find each square root.
1. 2. 3. ­
1
4. 5. +
6. 7. +
8. ­
2
Solve each equation.
9. 289 = a2
10. m2 = 0.09
11. y2 = 4
25
12. = 8
13. = 81
3
Find the perimeter of the square with the given area.
14. A = 121 in.2
15. A = 36 m2
4
16. A marching band wants to form a square in the middle of the field. If there are 225 members in the band, how many should be in each row?
5
Do the following problems with your calculator. Round all answers to the nearest tenth.
1. 2.
3.
4.
5.
6. ÷
7. ÷
6
7