Elementary Algebra

Cover Elementary Algebra
Elementary Algebra
Walter R Walter Randall Marsh
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3. 4V2. 7. -5V4. 11. (a-J)Va-i.
4. 2#4. 8. — 2a-v^i. 12. — (a — x)^'x-y.
h. XV, § 192] RADICALS 231 192. When the radicand is in the fractional form it may e made integral, by I, § 190. Since \|f-J ==-* *a n * a u a Note. (l) n = 1, hence V\ n = 1. It is usual to omit both the qxment of the power, and the index of the root, of 1.
When the denominator of a radicand in the fractional >rm does not contain a quantity whose exponent is a mltiple of the index of the root, the denominator may be nt in
...to such a form that the indicated root may be ex- acted by multiplying both numerator and denominator y the same quantity.
Thus, 4=4(t)=^=4^=i^- 1. Simplify Vf- 4=M>^=4^=y°- 2. Simplify {gig: sJ 2xy __ s j2xy _ sl 2xy /" 3 a?b* \ yldab^ "V 3 2 ab ~ ^ 3 2 ab \3 a 2 b 2 ) 232 ELEMENTARY ALGEBRA [Ch. XV, § 1 EXERCISE XCIV Simplify the following surds : 1.
V|.
2.
V|.
3.
v*.
4, *!■ 5.
n 6.
n.
7.
n n 12.
13.
J2a 15.
^2« v 125c 2 16.


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