# Difference between revisions of "Surds"

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Example: <math>2\sqrt{5}+3\sqrt{5}-\sqrt{5}</math><br> | Example: <math>2\sqrt{5}+3\sqrt{5}-\sqrt{5}</math><br> | ||

4.Multiplication of surds. | 4.Multiplication of surds. | ||

− | Example: <math>\ | + | Example: <math>\7sqrt{3} X 2\sqrt{5}</math><br> |

===Activities=== | ===Activities=== |

## Revision as of 10:46, 12 August 2014

Philosophy of Mathematics |

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## Contents

# Concept Map

**Error: Mind Map file Surds in Manjesh.mm not found **

# Textbook

Please click here for Karnataka and other text books.

# Additional Information

## 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

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

### 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

- Activity1

## 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:

2.Unlike surds: Groups of surds having different orders or different radicandsor both in their simplest form.
Example:

3.Addition and sustraction of surds.
Example:

4.Multiplication of surds.
Example: **Failed to parse (syntax error): {\displaystyle \7sqrt{3} X 2\sqrt{5}}**

### Activities

- Activity No:1
**Like surds**

- Activity No:2
**Unlike surds**

# Assessment activities for CCE

# 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