Elements of Algebra

Cover Elements of Algebra
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Ans. (2 4- 4c +2ac2)^'c^ 12. Reduce ay/ 20 +• Jv/5 — Cs/bU^ to one sum.
yIhs. (2a + & — c&)v/5'.
13. Reduce ab\/ 72 + c\/8 + m«\/18)x/12.
18. Reduce 40^^" + SacVc"^ — 9ac\/c to one sum. Ans. 0, 19. Reduce 12iV«"'"'"c'°' + 5m V« to one sum.
Ans. (12&ac2 + 5m) Va^ 20. Reduce 3\/aV6^ and — 2abcy/abc to one sum.
^?is. Abcy/abc.
The whole difficulty in solving these examples consists in finding the incommensurable factor common to all the radicals.
Second Principle.
302. The Ji"" root of the quotien
...t of two quantities is equal to the quotient of their w* roots. That is, \ / — = — — V 6 «/6- For, to raise a fraction to any power, we raise the numerator and denominator, separately, to the required power.

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