Surds and indices

Surds and Indices Some basic concepts of Surds and Indices

Laws of Indices

a ×a = a m

n

(a ) m

n

m+ n

= a mn

m

a m −n =a n a

( ab )

n

= a nb n

n

an a   = n b b

a =1 0

What is a Surd ď‚žLet

a be a rational number and n be a positive integer such that 1 . is n a an = n a irrational..Then is called a surd of order n.

Laws of Surds a =a

n

n

( a)

1 n

n

ab = n a Ă— n b

( a) n

n

=a

n

m

= n am

a na =n b b

m n

a = mn a

Basic understanding of Surds and Indices is helpful guide to solve math homework problems easily.