simplifying surds


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Surd
is NOT a surd because and 3 is NOT an irrational number. Without using tables, simplify: (i) 36 - 1 / 2 (ii) (i) 36 - 1 / 2 = (6 2 ) - 1 / 2 = 6 - 1 (i..
Surd
If K is not a perfect nth power of any number, then is called a surd of the n t h order. A surd is always an irrational numbe..
Surd
If K is not a perfect nth power of any number, then is called a surd of the n t h order. e.g., is a surd of the third order. is a surd of the second order. A surd is always an irrational numb..
Conjugate surds
is the conjugate surd of . Their product is a rational number, In the above example (6), and are conjugate surds of each oth..
Summary
A rational number is a number of the form where p and q are integers and . Problems involving rational numbers are simplified using 'BODMAS' rule. A rational number can be represented in the decimal form. When a rational number is represented as a decimal, it will be either ..
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 terminating decimal or a recurring decimal. 4. All rat..
Indices
If m is a positive integer, a x a x a ... m times is written as a m . a is called the base and m is the power. We read it as "a raised to the power m". The power is also called "the index" or "the exponent". An irrational root of a positive rational number is called a surd..
Indices
If m is a positive integer, a x a x a .. m times is written as am. a is called the base and m is the power. We read it as "a raised to the power m". The power is also called "the index" or "the exponent". When the power or index is a fraction say then and it is a surd of order n. In..
Indices and laws of indices
Indices - If m is a positive integer, a x a x a .. m times is written as am. a is called the base and m is the power. We read it as "a raised to the power m". The power is also called "the index" or "the exponent". When the power or index is a fraction say then and it is a surd of order n..
Question 4
image Question: Calculate the distance between the points (-3, 5) and (4, -6), leave your answer in surd form. [2 Mark] Answer: Let A(-3, 5) and B(4, -6) ..
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