Question

√7+√6/√7-√6= what??
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Answer 1

Answer:

The answer is $13+2\sqrt {42}$

Step-by-step explanation:

 $\frac{\sqrt 7+\sqrt 6}{\sqrt 7-\sqrt 6}\times \frac{\sqrt 7+\sqrt 6}{\sqrt 7+\sqrt 6}$, rationalize denominator

$\frac{(\sqrt 7+\sqrt 6)^2}{(\sqrt 7)^2-(\sqrt 6)^2}=\frac{(\sqrt 7)^2+(\sqrt 6)^2+2(\sqrt 7)(\sqrt 6)}{7-6}\\=\frac{7+6+2\sqrt{6\times 7}}{1}=\frac{13+2\sqrt {42}}{1}=13+2\sqrt {42}$