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Contents
Laws of Surds 1 2
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Laws of Surds
 
The two basic laws of surds are,
for all positive real numbers a and b: 
These laws are derived from the
laws of indices.
Conjugate Surds
Conjugate surds are specially
related surds such as: , 
Their product is always a a
rational number, as
The idea of conjugate surds is
important for rationalizing the denominator.
Find the conjugate surds of:
1.
2.
3.
 
Solutions:
1.
2.
3.
 
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