Question:
Rationalise the denominator of 2/(3-sqrt(2))
Methods:
First, rationalise the denominator by multiplying the top and bottom of the fraction by the conjugate of the denominator.
(2/ (3-sqrt (2)))
((3+sqrt (2))/ (3+sqrt (2)))
Next, expand the brackets – notice there will be a difference of two squares on the bottom of the fraction.
(6+(2sqrt (2)))/ (9-2)
Finally, simplify your answer.
Answer:
(6+2(sqrt (2)))/7
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