A First Course in Algebra

Cover A First Course in Algebra
A First Course in Algebra
Webster Wells
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22. Y3 a 3 -24 a 2 +48 a. 23. \/l8a 3 6 + 60a 2 6 2 +50a6 3 .
24. \/(6 x 2 +5 xy-4y 2 ) (3 # 2 -2 a^-8 y 2 ).
205. Case III. TFAew the expression under the radical sign is a fraction.
In this case, we multiply both terms of the fraction by such an expression as will make the denominator a per- fect power of the same degree as the surd, and then pro- ceed as in § 204.
Ex. Reduce ^ to its simplest form.
8 a Multiplying both terms of the fraction by 2 a, we have EXERCISE 84 Reduce the following to
... their simplest forms : 1. ^|. 3. \^. 5. Y^f. 7 . I/I. 9 . V^l, 2 - ^i- 4- Vtf. 6. VI\. 8. Vf. 10. V/£ • c v 170 ALGEBRA */7" j2a-6 Aa 2 -ab + b 2 2a+b * a+b 1 / 2a 2 -a-15 ^ a: 3 / 3 a? 2 - 18 g + 27 M ' a-3^ a-3 " x 2 -5x+6* x 3 206. To Introduce the Coefficient of a Surd under the Radical Sign.
The coefficient of a surd may be introduced under the radi- cal sign by raising it to the power denoted by the index.
Ex. Introduce the coefficient of 2^3 under the radical sign.
2^3 = ^8 X V3*- ^/8X3 = ^/24.


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