Question

5- root 6 divided by 5+ root 6= a- b root 6

Answer 1

$\frac{5 - \sqrt{6} }{5 + \sqrt{6} } = a - b \sqrt{6} \\ \\ = \frac{5 - \sqrt{6} }{5 + \sqrt{6} } \times \frac{5 - \sqrt{6} }{5 - \sqrt{6} } = a - b \sqrt{6} \\ \\ = \frac{25 + 6 - 10 \sqrt{6} }{25 - 6} = a - b \sqrt{6} \\ \\ = \frac{31 - 10 \sqrt{6} }{19} = a - b \sqrt{6} \\ \\ = \frac{31}{19} - \frac{10}{19} \sqrt{6} = a - b \sqrt{6}$

On Comparing both sides, we get

$a = \frac{31}{19}$
And

$b = \frac{10}{19}$

Answer 2

Answer:

a):-31/19

a):-31/19 b):-10/19

Step-by-step explanation:

Please see the attached attachment.

Mark it as the brainliest answer.