ThePrismSolutions

ThePrismSolutions

SURDS AND INDICES

IMPORTANT FACTS AND FORMULAE

1. 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

2. 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.



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