Question

if
3 + √2 = a+b√2
3-√2​

Answer 1

Step-by-step explanation:

$\frac{3 + \sqrt{2} }{3 - \sqrt{2} } \\ \frac{(3 + \sqrt{2} )(3 + \sqrt{2} )}{(3 - \sqrt{2} )(3 + \sqrt{2} )} \\ \frac{9 + 3 \sqrt{2 } + 3 \sqrt{2} + 2 }{3 ^{2} - { \sqrt{2} }^{2} } \\ \frac{11 + 6 \sqrt{2} }{9 - 2} \\ \frac{11}{7} + \frac{6 \sqrt{2} }{7}$

$a = \frac{11}{7}$

$b = \frac{6}{7}$