# Surds

Philosophy of Mathematics |

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## Contents

# Concept Map

# Textbook

Please click here for Karnataka and other text books.

# Additional Information

- 9th_and_10th_ NCERT, ICSE and CBSE Text books, relavent websites and other books

## Useful websites

- Surds starts with basic concepts,(to view the next page, please click on previous/up/next options in the bottom of the page
- Please refer Wikipedia page for Surds. This page discusses SuFNcY1z8dr6srds in detail.
- surds and other rootsThis page discusses surds and roots in detail.
- Video on Surds from Youtube :simplifying surds,rationalising surds,dividing and multiplying surds

## Reference Questions

- what is the meaning of surds?
- Difference between like and unlike surds.
- Meaning of Pure and mixed surds.
- Simplification of rationalising the denominator.

# Teaching Outlines

- Definition, examaples
- Order and radicand of a surd
- Like Surds and Unlike Surds
- Addition and Subtraction of Surds
- Multiplication of Surds.

i.Multiplication of Surds having same Order

ii. Multiplication of Surds having different Order - Rationalising Factor of a Surd
- Simplifying a surd by Rationalizing denominator of a surd

## Concept 1: **Definition of surds**

Irrational root of rational number. Example:'"`UNIQ--postMath-00000001-QINU`"'

### Learning objectives

- know the meaning of surds
- recognising radicand and order of surds

### Notes for teachers

If you can't simplify a number to remove a square root (or cube root etc) then it is a surd. If it is a root and irrational, it is a surd. But not all roots are surds.

### Activities

Activity for Definition click

## Concept-2: **Like and Unlike surds**

### Learning objectives

- Know the meaning of surd
- recognising the meaning of order and radicand
- Examples of like and unlike surds
- To change surd to simplest form
- Addition and Multiplication og surds

### Notes for teachers

1.Like surds: A group of surds having same order and same radicand in their simplest form.
Example: '"`UNIQ--postMath-00000002-QINU`"'

2.Unlike surds: Groups of surds having different orders or different radicandsor both in their simplest form.
Example: '"`UNIQ--postMath-00000003-QINU`"'

3.Addition and sustraction of surds.
Example: '"`UNIQ--postMath-00000004-QINU`"'

4.Multiplication of surds.
Example: '"`UNIQ--postMath-00000005-QINU`"'

### Activities

Activity for like and unlike surds click here

## Concept-3: Addition of Surds

- simplify the surds

'"`UNIQ--postMath-00000006-QINU`"'

'"`UNIQ--postMath-00000007-QINU`"'

# Assessment activities for CCE

Solving problems with same order and same radicand, same order and different radicand, different order and different radicand also different order and same order. Examples: Surds_CCE_Activity click here

# Hints for difficult problems

# Project Ideas

# Hints for difficult problems

Please clickhere\here

# Project Ideas

KOER_Mathematics_2014-15#Resources_and_handouts

# Math Fun

Teachers contributions for this page

- Tharanath Achar Sir, Graduate Assistant. Govt. P U College, Belthangady