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Maths Essay

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Below is an essay on "Maths" from Anti Essays, your source for research papers, essays, and term paper examples.

INDICES, SURDS & LOGARITHMS






Indices


For any real number a ( (, and n is a positive integer, so

[pic] , n times

is call as ‘ a the power of n’, which a is the base and n is the index or exponent.

For example: [pic]
[pic]


Law of Indices


a) [pic]
b) [pic]
c) [pic]
d) [pic]
e) [pic]

Zero Index [pic]
[pic]

Negative Index [pic]

Fractional Index [pic]

Example:
|                                                                 |                                                                 |
|1. [pic]                                                         |4. [pic]                                                         |
|[pic]                                                             |5. [pic]                                                         |
|2. [pic]                                                         |6. [pic]                                                         |
|[pic]                                                             |8. [pic]                                                         |
|3. [pic]                                                         |                                                                 |
|7. [pic]                                                         |                                                                 |



Exercise:

  1. Simplify the following expressions.


      a) [pic]
      b) [pic]
      c) [pic]
      d) [pic]
      e) [pic]


2. If [pic], prove that [pic]


3. Solve the following equations.

a) [pic]
b) [pic]
c) [pic]
d) [pic]













Surds

A surd is an irrational number of the form [pic] , where ‘n’ is a positive integer and ‘a’ is a real number which is not a perfect square. For example, [pic] and [pic] are surd but [pic] is not a surd since [pic].

The following results can be used to simplify surds to the simplest form.

a) [pic]
b) [pic]
c) [pic]
d)...

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Citations

MLA Citation

"Maths". Anti Essays. 18 Feb. 2019

<https://www.antiessays.com/free-essays/Maths-760398.html>

APA Citation

Maths. Anti Essays. Retrieved February 18, 2019, from the World Wide Web: https://www.antiessays.com/free-essays/Maths-760398.html