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 Form 3 Mathematics lessons on surds

Lesson on Rationalization of surds

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Answer Text:
Rationalization of Surds
-To rationalize a surd is to make a surd become a rational number. This is achieved by multiplying the surd by its conjugate.
- The conjugate of #sqrt a# is #sqrt a# while the conjugate of #sqrt b# is #sqrt b # .
-For the complex surds, we change the sign between the surds. e.g the conjugate of #sqrt a + sqrt b# is #sqrt a - sqrt b# and vice versa.
Example 1. Rationalize the following surds.
a).#sqrt 5# b). # sqrt 3#


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