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

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Ch2–3 © Sharadindu Bikash Bhattacharjee 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 3.14 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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Ch2–4 © Sharadindu Bikash Bhattacharjee 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. 3.(i) is not a surd, its root 2 is rational. are not surds, their roots are rational. although an irrational number is not a surd because it is the square root of an irrational number. 2. iii 4.

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Ch2–5 © Sharadindu Bikash Bhattacharjee 2.(b).i

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Ch2–6 © Sharadindu Bikash Bhattacharjee ii.

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Ch2–7 © Sharadindu Bikash Bhattacharjee ii (a)

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Ch2–8 © Sharadindu Bikash Bhattacharjee Again

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Ch2–9 © Sharadindu Bikash Bhattacharjee Example:24 2nd method Continued….

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Ch2–10 © Sharadindu Bikash Bhattacharjee 2nd method

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Ch2–11 © Sharadindu Bikash Bhattacharjee 2nd method

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Ch2–12 © Sharadindu Bikash Bhattacharjee

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Ch2–13 © Sharadindu Bikash Bhattacharjee

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Ch2–14 © Sharadindu Bikash Bhattacharjee

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