surds & indices

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..

An irrational root of a positive rational number is called a surd. Consider a number with base 'a' as a positive rational number with power of a fraction, say then Since is an n t h root, it is called a surd of order n, if it is irrational. e.g., (i) is a surd..

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..

is the conjugate surd of . Their product is a rational number..

is called a surd. All surds are irrational numbers. Rational numbers and irrational numbers together form the set of real numbers. All rational and irrational numbers can be marked on the number line. Numbers with surds in the denominator are supposed to be simplified by ra..

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..

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..

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 rational and ..

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) ..