rationalise the denominator and simplify : 13+3√5/13-3√5
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13+13√5
______
13-3√5
= (13+3√5)(13+3√5)
________________
( 13-3√5)(13+3√5)
= (13)^2 + (3√5)^2
____________
(13)^2 - (3√5)^2
= 169+45
_____
169-45
= 214
___
124
= 107
___
62
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