Question

3. Rationalize the denominator of 1/4+√5
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Answer 1

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Rationalize the denominator of 1/4+√5

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$\frac{1}{4 + \sqrt{5} } \times \frac{4 - \sqrt{5} }{4 - \sqrt{5} } \\ \frac{4 - \sqrt{5} }{ {(4)}^{2} - {( \sqrt{5)} }^{2} } \\ \frac{4 - \sqrt{5} }{16 - 5} \\ \frac{4 - \sqrt{5} }{11}$

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