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Welcome To A Session Indices and Surds

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**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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**© 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 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 © Sharadindu Bikash Bhattacharjee

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**© 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. 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. © Sharadindu Bikash Bhattacharjee

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**© Sharadindu Bikash Bhattacharjee**

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**© Sharadindu Bikash Bhattacharjee**

ii. © Sharadindu Bikash Bhattacharjee

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**© Sharadindu Bikash Bhattacharjee**

ii (a) © Sharadindu Bikash Bhattacharjee

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**© Sharadindu Bikash Bhattacharjee**

Again © Sharadindu Bikash Bhattacharjee

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**© Sharadindu Bikash Bhattacharjee**

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

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**© Sharadindu Bikash Bhattacharjee**

2nd method © Sharadindu Bikash Bhattacharjee

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**© Sharadindu Bikash Bhattacharjee**

2nd method © Sharadindu Bikash Bhattacharjee

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**© Sharadindu Bikash Bhattacharjee**

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**© Sharadindu Bikash Bhattacharjee**

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**© Sharadindu Bikash Bhattacharjee**

Thank you For Attending the Session © Sharadindu Bikash Bhattacharjee

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Aims: To be to be able to classify types of numbers To be able to write a surd in its simplest form To be able to add, subtract and multiply surds SURDS.

Aims: To be to be able to classify types of numbers To be able to write a surd in its simplest form To be able to add, subtract and multiply surds SURDS.

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