Parts of a Radical and simplifying a radical

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Information about Parts of a Radical and simplifying a radical
Education

Published on February 5, 2014

Author: joannemarierosacrooks

Source: slideshare.net

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Identifying the parts of a radical and simplifying a radical

Lesson 4 4th February 05, 2014 PARTS OF A RADICAL * *If the _________ is not written, it is automatically a ____. Lesson 4 - Simplifying Radicals I. Basics of Radicals **The term RADICAL - is the name of the symbol index/root 4 3 4 8x y RADICAND 3 24x y When no index/root is indicated it means square root. Understood 2 is there. 2 Could be written but it is accepted as square root when nothing is there. 3 8x cube root 4 24x y

Lesson 4 4th February 05, 2014 II. PERFECT SQUARES The important thing about Perfect S is that they are the squares RE of WHOLE NUMBERS! UA They are SQ They LITERALLY 'perfect' describe the . . . because there are AR EA 1 2 of a 0.5 SQ UA RE NO fractions or decimals Taking the square root of a perfect square will give you the dimension of one side of the square. BUT the important thing about perfect-squares is that they are the squares of WHOLE NUMBERS! Perfect Squares 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 1 =1 256 =16 49 = 7 144 =12 289 =17 9 =3 64 = 8 169 =13 324 =18 16 = 4 81 = 9 196 =14 361 =19 25 = 5 24 = 476 2 25 = 625 121 =11 4 =2 2 36 = 6 100 =10 225 =15 400 =20

Lesson 4 4th February 05, 2014 III. Method for Simplifying Radicals A. Completely factor the RADICAND then match up pairs of the same factor examples: 18 48 147 more examples: 3 98 175x2 5 x y6z

Lesson 4 4th February 05, 2014 Your turn! 72 8 1 2 4 3 288x y 3 3 225x 2 80x

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