simplify by rationalising the denominators:
(3-2√5)/(3+2√5)
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Step-by-step explanation:
=(3-2√5) / (3+2√5)
=(3-2√5)(3-2√5) / (3+2√5)(3-2√5)
=(3-2√5)² / (3²-(2√5)²
=[3²-2*3*2√5+(2√5)²]² / 9-20
=9-12√5+20 / -11
= -(29-12√5) / 11
= -29+12√5 / 11
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