Question

5+root6 by 5-root6=a+b root 6 , find a and b

Answer 1

Answer:

a=-31/11

b=-10/11

Step-by-step explanation:

i hope it's clear

Answer 2

$\frac{(5 + \sqrt{6} )}{(5 - \sqrt{6}) } = a + b \sqrt{6}$

$\frac{(5 + \sqrt{6})(5 + \sqrt{6}) }{(5 - \sqrt{6} )(5 + \sqrt{6}) } = a + b \sqrt{6}$

$\frac{ {(5 + \sqrt{6}) }^{2} }{ ({5}^{2} - ( { \sqrt{6} )}^{2} )} = a + b \sqrt{6}$

$\frac{25 + 6 + 10 \sqrt{6}}{25 - 6} = \frac{31 + 10 \sqrt{6} }{19} = \frac{31}{19 } + \frac{10}{19} \sqrt{6}$

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

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