Question

rationalize √11+5÷ √11-√5​

Answer 1

Answer:

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$\frac{ \sqrt{11} + \sqrt{5} }{ \sqrt{11} - \sqrt{5} } \\ = \frac{( \sqrt{11} + \sqrt{5})( \sqrt{11} + \sqrt{5} ) }{( \sqrt{11} - \sqrt{5} )( \sqrt{11} + \sqrt{5} ) } \\ = \frac{( \sqrt{11} + \sqrt{5}) {}^{2} }{ { \sqrt{11} }^{2} - { \sqrt{5} }^{2} } \\ = \frac{11 + 5 + 2 \sqrt{55} }{11 - 5} \\ = \frac{16 + 2 \sqrt{55} }{6} \\ = \frac{8 + \sqrt{55} }{3}$

Step-by-step explanation:

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