The Normal Elementary Arithmetic : Embracing a Course of Easy And Progressive Exercises in Elementary Written Arithmetic : Designed for Primary Schools ...

Cover The Normal Elementary Arithmetic : Embracing a Course of Easy And Progressive Exercises in Elementary Written Arithmetic : Designed for Primary Schools ...
The Normal Elementary Arithmetic : Embracing a Course of Easy And Progressive Exercises in Elementary Written Arithmetic : Designed for Primary Schools ...
Edward Brooks
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Ans. Sai/(ae).
4. v^(8aV). Ans, 2ax^(2x).
5. 8i/(12a*). Ans, 6aV(3a).
6. a|/(48a'6). Ans. 4aV(3a6).
7. i/(32a«5V). Ans. 4a»6Vi/(2c).
8. i/ \ 4a\a -b)\. Ans. 2a(a - 6)*.
9. 2^/ 1 9(a» - a'e) \ . Ans. 6ai/(a - c).
10. a^(,a* - a^z). Ans. ax^(l - z).
11. 2((w» -6a:»)i. ^^^ 2x(a-6a;)*.
12. 6av*/(54a«6V). Ans. 15abc^ (20^0).
REDUCTION OF BADICAD9. 185 18. (75aVy)*. Ans. 5a«'(Saxy)^.
14. (24a*6V)*. Ans. 2ah(Sah'^)K 16. |r{162a*(6»-6*c)*,. An8.Sa^\^(b-c)i\.
16. (a-h6)(o'-2a»6+a6*)*. Am. (a*- ftOl/^.
1
...7. (TO-n)(2aw*+4amn+2on')*. Ans. (m*-n*)|/2a.
18. 2av/(8a:»y+16a:*y'+8ay). Jrw. 4a(a;+y)i/(2ajy).
WHEN THE RADICAL IS FRACTIONAL.
349. A Fractional Radical ia reduced to its simpleat form by changing it to an entire quantity.
1. Reduce 2]/f to its simplest form.
SoiiUnoN. Maltipljing both terms of oferatjon the radical bj 3 to make the denominator a Sx^ perfect square, we have 2>/ ( ; £EU!toring, we 2|/} — ^r~^ " ^^ I have 2|/Jx6, which equals 2}/^ x |/6 (Art 246), which, extracting the square root of -2/Jx6-2> ix/6 ^ and multiplying, equals fi/6.


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