Question

rationalize the denominator 1/root 7-root 6 ​

Answer 1

Answer:

(√7+√6)

Step-by-step explanation:

(√7+√6)/(√7)²-(²√6)

(√7+√6)

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Answer 2

$\huge\tt\colorbox{violet}{Answer}$

$\frac{1}{ \sqrt{7} - \sqrt{6} } \\ \\ \frac{1}{ \sqrt{7} - \sqrt{6} } \times \frac{ \sqrt{7} + \sqrt{6} }{ \sqrt{7} + \sqrt{6} } \\ \\ \frac{ \sqrt{7} + \sqrt{6} }{ {( \sqrt{7}) }^{2} - { (\sqrt{6}) }^{2} } \\ \\ \frac{ \sqrt{7} + \sqrt{6} }{7 - 6} \\ \\ \frac{ \sqrt{7} + \sqrt{6} }{1} \\ \\ \sqrt{7} + \sqrt{6}$