simplify 4+3√5 / 4-3 √ 5 + 4- 3 √ 5 / 4 + 3 √ 5 by rationalizing the denominator
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4 + 3√5 / 4 - 3√5
= ( 4 + 3√5 / 4 - 3√5 ) × ( 4 + 3√5 / 4 + 3√5)
= ( 4 + 3√5)^2 / (4)^2 - (3√5)^2
= (4)^2 + (3√5)^2 + 2*4*3√5 / 16 - 45
= 16 + 45 + 24√5 / - 29
= 61 + 24√5 / -29
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