Question

rationalize the denominators of 7+6√5/7-6√5​

Answer 1

Answer:

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Answer 2

$\frac{7 + 6 \sqrt{5} }{7 - 6 \sqrt{5} } \times \frac{7 + 6 \sqrt{5}}{7 + 6 \sqrt{5}} \\ = \frac{(7 + 6 \sqrt{5}) ^{2} }{(7) ^{2} - (6 \sqrt{5}) ^{2} } \\ = \frac{ ({7})^{2} + (6 \sqrt {5} ) ^{2} + 2(7)(6 \sqrt{5}) }{49 - 180} \\ = \frac{49 + 180 + 84 \sqrt{5} }{ - 131} \\ = \frac{229 + 84 \sqrt{5} }{ - 131} \\ = \frac{ - 229 - 84 \sqrt{5} }{131}$