simplify by rationalising the denominator7+2√5/7-2√5
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Answer:
(69 + 28√5)/29
Step-by-step explanation:
- (7+2√5)/(7-2√5) =
- (7+2√5)(7+2√5)/(7-2√5)(7+2√5) =
- (7² + 2*7*2√5 + (2√5)²)/ (7² - (2√5)²) =
- (49 + 20 + 28√5)/(49 - 20) =
- (69 + 28√5)/29
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