three methods to represent root 2 in number line


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Summary
1. Problems involving rational numbers are simplified using 'BODMAS' rule. 2. A rational number can be represented in the decimal form. 3. When a rational number is represented as a decimal, it will be either a ..
Mathematical Induction Introduction
Introduction - The word 'Induction' means method of reasoning from individual cases to general ones or from observed instances to unobserved ones. Many important mathematical formulae are such that a result is formed by some means which does not provide for a direct proof. Mathematical In..
Methods of factorising polynomials
There are various methods of factorising a polynomial. They are, 1. Factorisation by dividing the expression by the HCF of the terms of the given expression. 2. Factorisation by grouping the terms of the expression. 3. Factorisation using identities. Let us study thes..
Non Homogenous Equations (Solution by the Matrix Method)
Consider the non-homogeneous equations a 1 x + b 1 y + c 1 z = d 1 a 2 x + b 2 y + c 2 z = d 2 a 3 x + b 3 y + c 3 z = d 3 This can be written as |A| may or may not be ze..
3rd Method:
(i) RHS (ii) From (i) and (ii), LHS = RHS Hence proved. Which number should be added to each of the numbers 7, 22 and 62 so that the sums would be in continued proportion? Let the number added to each of them be 'x..
Representation of Sets
There are two methods of representing a set. (i) Roster Method (ii) Set builder fo..
Summary
In roster method of representing a set, all the elements are listed in the set. Two sets are said to be Equivalent sets if the elements of one set can be put in one-one correspondence with the elements of the other set. Two sets are said to ..
Geometrical Representation of Complex Number
Geometrical representation of a Complex number, Argand diagram - Since every complex number z = x + iy is an order pair of real numbers (x, y), it can therefore be represented by a point P(x,y) in the xy plane by taking the real part along the x-axis and the ..
Geometrical representation of a Complex number, Argand diagram
Since every complex number z = x + iy is an order pair of real numbers (x, y), it can therefore be represented by a point P(x,y) in the xy plane by taking the real part along the x-axis and the imaginary part along the y-axis. This representation of a complex numb..
Basic Definitions
Set: A well-defined collection of distinct objects is called a set. Notation of Sets: Capital letters are usually used to denote or represent a set. Representation of Sets: There are two methods of representing a set. (i) Roster M..
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