Question

simplify by rationlizing the denominator 5+√6 / 5 + √-6​

Answer 1

Answer:

$\frac{31 + 10 \sqrt{6} }{19}$

Step-by-step explanation:

$\frac{5 + \sqrt{6} }{5 - \sqrt{6} } \times \frac{5 + \sqrt{6} }{5 + \sqrt{6} }$

$\frac{(5 + \sqrt{6)}2 }{(5)2 - ( \sqrt{6)2} }$

$\frac{25 + 6 + 10 \sqrt{6} }{25 - 6}$

$\frac{31 + 10 \sqrt{6} }{19}$