Surds

 ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ

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= Concept Map =



= Textbook = Please click here for Karnataka and other text books.
 * 1) Karnataka text book for Class 10, Chapter 07 - Surds

=Additional Information=
 * 1) 9th_and_10th_ NCERT, ICSE and CBSE Text books, relavent websites and other books

Useful websites

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

Reference Questions

 * 1) what is the meaning of surds?
 * 2) Difference between like and unlike surds.
 * 3) Meaning of Pure and mixed surds.
 * 4) 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:$$\sqrt{2}, 7\sqrt{5}, \sqrt{x}$$

Learning objectives

 * 1) know the meaning of surds
 * 2) 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

Learning objectives

 * 1) Know the meaning of surd
 * 2) recognising the meaning of order and radicand
 * 3) Examples of like and unlike surds
 * 4) To change surd to simplest form
 * 5) 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: $$3\sqrt{5}, 7\sqrt{5}, x\sqrt{5}$$ 2.Unlike surds: Groups of surds having different orders or different  radicandsor both in their simplest form. Example: $$\sqrt{a}, 3\sqrt{2}, x\sqrt{5}$$ 3.Addition and sustraction of surds. Example: $$2\sqrt{5}+3\sqrt{5}-\sqrt{5}$$ 4.Multiplication of surds. Example: $$7\sqrt{3} X  2\sqrt{5}$$

Activities
Activity for like and unlike surds click here

Concept-3: Addition of Surds
$$3\sqrt{45}+2\sqrt{20}-\sqrt{5}$$
 * 1) simplify the surds

$$=3\sqrt{3X3X5}+2\sqrt{2X2X5}-\sqrt{5}$$ =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

= Math Fun =

Teachers contributions for this page
 * 1) Tharanath Achar Sir, Graduate Assistant. Govt. P U College, Belthangady

= Math Fun =