Surds

Help with surds,simplifying etc

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  • Created by: gogos
  • Created on: 28-06-10 22:57
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Surds
An example of a surd
Surds can also be shown as irrational numbers, which are often used in the
place of decimals in calculations.
However, to make the result more accurate you need to carry out a
calculation using the surd which is called RATIONALISING. The aim of
rationalising is to remove the surd from the denominator.
In order to do this you:
1. Firstly you need to times the surd by 1, in the form of the surd,
2. This would give,
And
3. So after rationalising the denominator,
=

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THE SQUARE ROOT OF A NUMBER IS THE PRODUCT OF THE
SQUARE ROOTS OF THE NUMBERS FACTORS.
Simplifying Square Roots
1. Firstly, multiply out the square roots into the simplest form,
2. Then square root to full numbers all that can,
3. Finally, simplify if possible,
Sometimes additions/subtractions can be used with surds in both forms (
) which can mean some surds may need changing from one form
to another. For example,
To MULTIPLY OUT A SURD
1.…read more

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For the use of an example this would mean
However, in actual use would've been simplified to , giving an
outcome of .…read more

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