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Combined Graduate Level [Tier-1]
Subject : Numerical Aptitude
Chapter : Indices and Surds
Mathematics
Indices and Surds
Indices
In the expression xn, n is called the exponent or index and
x is called the base and xn is read as ‘x to the power of n’ or
‘x raised to the power n’.
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Mathematics
Indices and Surds
Laws of Indices:-
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Mathematics
Indices and Surds
Surds
If n is a positive integer and ‘a’ is a positive rational
number (a > 0), then is called a surd of order n or nth
order surd if is an irrational number.
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Mathematics
Indices and Surds
Laws of Radicals
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Mathematics
Indices and Surds
Rationalization of a Surd
If the product of two surds is rational, then each of the two
surds is called a rationalizing factor of the other. In general
if the surd is of type , then its rationalizing factor is ..
The rationalizing factor of a surd is not unique. But it is
always convenient to use the simplest of all rationalizing.
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Mathematics
Indices and Surds
Factors of a given Surd
(a)Rationalizing Factor of
(b) Rationalizing Factor of
(c) Rationalizing Factor of
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Mathematics
Indices and Surds
‘Smart’ Facts
•The symbol is called the radical sign.
•In , ‘n’ is called the order of the surd.
•In , ‘a’ is called the radicand.
•By is a surd is understood that ‘a’ is rational number
and is an irrational number.
© 2014 SSCPORTAL .IN
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Mathematics
Indices and Surds
‘Smart’ Facts
•The symbol is called the radical sign.
•In , ‘n’ is called the order of the surd.
•In , ‘a’ is called the radicand.
•By is a surd is understood that ‘a’ is rational number
and is an irrational number.
© 2014 SSCPORTAL .IN
http://sscportal.in
Join Online Coaching Click Here
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