Question

explain with procces ​

Answer 1

Answer:

A=11/7 b=6/7

Step-by-step explanation:

We have to rasonalize the number

$\frac{3 + \sqrt{2} }{3 - \sqrt{2} } = a + b \sqrt{2} \\ \frac{3 + \sqrt{2} }{3 - \sqrt{2} } \times \frac{(3 + \sqrt{2)} }{(3 + \sqrt{2)} } = a + b \sqrt{2} \\ \frac{ {(3 + \sqrt{2)} }^{2} }{ {3}^{2} - { \sqrt{2} }^{2} } = a + b \sqrt{2} \\ \frac{11 + 6 \sqrt{2} }{9 - 2} = a + b \sqrt{2} \\ \frac{11 + 6 \sqrt{2} }{7} = a + b \sqrt{2} \\ \frac{11}{7} + \frac{6 \sqrt{2} }{7 } = a + b \sqrt{2} \\ a = \frac{11}{7} \: \: \: \: b = \frac{6}{7}$

I think that is correct answer