![]()
Custom Search
|
|
![]() ![]() |
|
TABLES OF ROOTS The decimal values of square roots and cube roots of numbers with as many as 3 or 4 digits can be found from tables. The table in appendix I of this course gives the square roots and cube roots of numbers from 1 to 100. Most of the values given in such tables are approximate numbers which have been rounded off. For example the fourth column in appendix I shows that![]() The following examples show the effect, as reflected in the square root, of shifting the location of the decimal point in the number whose square root we seek:Cube Root The fifth column in appendix I shows that the cube root of 72 is 4.1602. By shifting the decimal point we immediately have the cube roots of certain other numbers involving the same digits. A shift of three places in the decimal point in the radicand corresponds to a shift of one place in the same direction in the cube root.Compare the following examples: Many irrational numbers in their simplified forms involve![]() ![]() Thus any irrational numbers that do not contain any radicals other than![]() ![]() For example consider Keep in mind that the decimal equivalents of ![]() ![]() |
![]() ![]() |