Simplify by rationalizing the denominator: (4 + 3√5)/(4 – 3√5)
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Step-by-step explanation:
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Answer:
- (61 + 24√5 / 29)
Step-by-step explanation:
(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
= 4² + 2 × 4 × 3√5 + (3√5)² / 16 - 45
= -((16 + 24√5 + 45) / 29)
= -((61 + 24√5) / 29)
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