Quantitative Aptitude Free-Study Notes
7. SURDS AND INDICES
A. LAWS OF INDICES:
(i)
am x an = am + n
(ii)
am / an = am-n
(iii)
(am)n = amn
(iv)
(ab)n = anbn
(v)
( a/ b )n = ( an / bn )
(vi)
a0 = 1
B.
SURDS:
Let a be a rational number and n be a positive integer such that a1/n = nsqrt(a) is irrational.
Then nsqrt(a) is called a surd of order n.
C. LAWS OF SURDS:
(i)
n
√a = a1/n
(ii)
n
√ab = n √a * n √b
(iii)
n
√a/b = n √a / n √b
(iv)
(n √a)n = a
(v)
m
√(n√(a)) = mn√(a)
(vi)
(n√a)m = n√am