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Unformatted text preview: Math Learning Center Boise State ©2010 Graphing Radicals STEM 7 Radical functions have the form: ug G U ug ¡ U ug ¢ £¤¥ ¦§ §¤¨ The most frequently used radical is the square root; since it is the most frequently used we assume the number 2 is used and the square root is written as: ug G © ug Square roots are simplified by looking for a number which multiplies by itself to obtain the number inside the square root sign. For example uª © ªU u« © ¬U u © ®U u¬¯ © ¯ £¤¥ ¦§ §¤¨ The superscript number in front of the radical called the index, tells how many times a number must be multiplied for example: °±²³ ´§§µ¶ u¬· ¡ © ® ¦¸¤°³ ® ¹ ® ¹ ® © ¬· º§±´µ» ´§§µ¶ uª¼ ¢ © ¬ ¦¸¤°³ ¬ ¹ ¬ ¹ ¬ ¹ ¬ © ª¼ °±²³ ´§§µ¶ u®ª¬¯ ½ © ¯ ¦¸¤°³ ¯ ¹ ¯ ¹ ¯ ¹ ¯ ¹ ¯ © ®ª¬¯ Solve the following problems: 1) u¼« © 2) u¼« ¡ © 3) u®¬ ½ © So far we have only provided problems that have integer answers. The reason for this is that when simplifying radicals, if the results are not integers, then the radical is an irrational number. In these cases the answer is best obtained through the use of a calculator. If a calculator is used, then the result will be approximate. u¯ © ¬¨¬®¼¾¼¿ À In this case, since the u¯ is the exact answer, we typically will not rewrite the number as a decimal number and we will say that the u¯ is in simplified form. Simplifying radicals when variables are inside the radical. First recall that exponents are indications of repeated multiplication so that Á Â © Á Ã Á Ã Á Ã Á Ã Á Ã Á Ã Á Irrational numbers by definition are decimal numbers which do not have an end to the number of digits after the decimal point and the digits never repeat. To signify an irrational number, we generally place three dots at the end to indicate that the number continues. Thus, 3.1214…. is an irrational number. Math Learning Center...
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 Math, Algebra, Radicals, 50%, Math Learning Center

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