Question

rationalize the denominator of the following
1/✓7 - ✓6​

Answer 1

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Answer 2

Answer:

$\frac{1}{ \sqrt{7} - \sqrt{6} } \\ rationalize \: the \: denominator \\ \frac{1}{ \sqrt{7} - \sqrt{6} } \times \frac{ \sqrt{7} + \sqrt{6} }{ \sqrt{7} + \sqrt{6} } \\ \frac{ \sqrt{7} + \sqrt{6} }{ { \sqrt{7} }^{2} - { \sqrt{6} }^{2} } \\ \frac{ \sqrt{7} + \sqrt{6} }{7 - 6} \\ \sqrt{7} + \sqrt{6} }$