Your Federal Quarterly Tax Payments are due April 15th Get Help Now >>

Algebra C & A Extra Examples Lesson 13-1 by qfAcYv

VIEWS: 0 PAGES: 2

									Geometry Concepts and Applications                                                              Chapter 13


Lesson 13-1


Examples                Simplify each expression.
                    1    169                                      2     625
                         169 = 13 because 132 = 169.                    625 = 25 because 252= 625.


Example             3   Simplify 72.
                          72 = 2  2  2  3  3        The prime factorization of 72 is 2  2  2  3  3.
                                                         Use the Product Property of Square Roots
                             = 2      22     33
                                                           to group any factors that occur in pairs.
                             = 223                     2  2 = 4 or 2 and 3  3 = 9 or 3
                             = 2  6 or 6 2             6 2 means 6 times 2.


Example             4   Simplify 7  14.
                          7  14 = 7  14               Product Property of Square Roots
                                 = 772                Replace 14 with 7  2.
                                 = 77 2               Product Property of Square Roots
                                 = 7  2 or 7 2          7  7= 7


Examples                Simplify each expression.
                         42                                               25
                    5                                             6
                         7                                                49
                         42     42                                        25     25
                             =             Quotient Property                   =         Quotient Property
                         7      7                                         49     49
                            = 6                                              5
                                                                           =
                                                                             7


Example                              11
                    7   Simplify       .
                                     7
                         11    11     7        7
                            =                   =1
                         7      7     7        7
                               11  7
                             =                Product Property of Square Roots
                                77
                               77
                             = 7                77=7
Geometry Concepts and Applications                                                          Chapter 13


Example                            5
                    8   Simplify     .
                                   10
                         5     5    10          10
                            =                     =1
                         10    10   10          10
                               5  10
                            =                 Product Property of Square Roots
                               10  10
                              5 10
                            =
                               100
                              5 10
                            = 10                100 = 10
                               10             5   1
                            = 2                 =
                                              10 2


Example             9   The area of a square can be found by using the formula A = s2, where s is the
                        length of a side. Suppose the area of a square is 98 square centimeters. Find
                        the length of a side in simplest radical form and as a decimal rounded to the
                        nearest tenth.
                                A = s2      Formula for the area of a square
                                       2
                               98 = s       Replace A with 98.
                               98 = s       Take the square root of each side.
                          772 =s          Product Property of Square Roots
                              7 2 =s

                        To find the decimal approximation for the side length, use a calculator.
                        7  [ ] 2  9.899494937

                        The simplest radical form for the length of a side is 7 2 centimeters and the
                        decimal approximation is 9.9 centimeters.

								
To top