Surds And Indices Important Facts And Formulas

Surds And Indices Important Facts And Formulas


  • Posted by  Irfan 
    28 Jan, 2012

    1. LAWS OF INDICES:

    (i) amx an = am+ n
    (ii) am / am = 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.

    3. LAWS OF SURDS:

    (i) √a = a1/2
    (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

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