Question

Find a and b

3+√7/3-√7=a+b√7

Answer 1

hope it helps you my frnd

Answer 2

$Given : \frac{3 + \sqrt{7} }{3 - \sqrt{7} }$

$= \ \textgreater \ \frac{3 + \sqrt{7} }{3 - \sqrt{7} } * \frac{3 + \sqrt{7} }{3 + \sqrt{7} } = a + b \sqrt{7}$

$= \ \textgreater \ \frac{(3 + \sqrt{7})^2 }{(3)^2 - ( \sqrt{7})^2 } = a + b \sqrt{7}$

$= \ \textgreater \ \frac{9 + 7 + 6 \sqrt{7} }{9 - 7} = a + b \sqrt{7}$

$= \ \textgreater \ \frac{16 + 6 \sqrt{7} }{2} = a + b \sqrt{7}$

$= \ \textgreater \ 8 + 3 \sqrt{7} = a + b \sqrt{7}$



Therefore the value of a = 8, b = 3.


Hope this helps!