Surds

I really have nooo clue on what surds are.

Answers
Surds are square roots that cannot be reduced to a whole number e.g.
chloe
05 July 2011
there are a few simple rules that we have to learn for surds
chloe
05 July 2011
x=
chloe
05 July 2011
This means that if we have a question such as solve x
chloe
05 July 2011
we put the 2 and the 8 inside the square root to get =
chloe
05 July 2011
now we know that = 4
chloe
05 July 2011
so 4 is our final answer
chloe
05 July 2011
Rule 2 is very similar.....
chloe
05 July 2011
it just states that =
chloe
05 July 2011
e.g. = = =2
chloe
05 July 2011
another type of question that you sometimes get asked is where you have to 'rationalise the denominator'
chloe
05 July 2011
this means that if there is a surd in the denominator part of a fraction, you have to make it a 'rational' (whole) number
chloe
05 July 2011
e.g.
chloe
05 July 2011
to rationalise the denominator we have to multiply both the top and the bottom of the fraction by
chloe
05 July 2011
so we get
chloe
05 July 2011
now, due to another rule which states that our
chloe
05 July 2011
and we leave the surd on the top
chloe
05 July 2011
so now we have
chloe
05 July 2011
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