1. Welcome To
A Session
Indices and Surds

2. Business Mathematics Eleventh Thoroughly Revised Edition
D.C. Sancheti  V.K. Kapoor
Chapter 1
Indices and Surds
PowerPoint Presentation by S. B. Bhattacharjee

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An irrational number we recall is one which cannot be expressed as the ratio of two integers in the form p/q, where p and q are the integers. For example are rational numbers as they are equal to and respectively. However is not a rational number as it is equal to to the nearest ten-thousand.
Similarly are irrational numbers.
Surd
it is an irrational number, and
it is the root of a rational number
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In the Surd , the index n is called the order of the surd and ‘a’ the radicand.
Example : is a surd, since is the irrational root of the rational number 3.
2 .
3.(i)
is not a surd, its root 2 is rational.
iii
are not surds, their roots are rational.
4 .
although an irrational number is not a surd because it is the square root of an irrational number.
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ii.
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ii (a)
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Again
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Example:24
2nd method
Continued….
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2nd method
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2nd method
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