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 Form 3 Mathematics lessons on surds

Simplification by rationalization of denominator

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Answer Text:
-As discussed earlier, rationalizing surds is achieved through multiplying the surds by their conjugates. When simplifying surds by rationalization of denominator, we multiply both the denominator and the numerator by the conjugate of the denominator.

Example 1
Simplify by rationalizing the denominator
#(sqrt 2 + sqrt 3)/(sqrt 6 - sqrt 3)#

Example 2. Simplify by rationalizing the denominator.
#(7 + sqrt 5)/(2 - sqrt 5)#