Rationalise the denominator of 2/(3-sqrt(2)).
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.(6+2*(sqrt(2)))/7
SA
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