Question

please give the ans in photograph ( 9th class que chapter 1 number system)​

Answer 1

Hey mate here is your answer ..

Answer 2

$\frac{3 + \sqrt{2} }{3 - \sqrt{2} } = a + b \sqrt{2}$

Rationalising Factor of 3-√2=3+√2

Multiply Numerator and Denominator with 3+√2

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

Comparing Both Sides

$a = \frac{11}{7} \\ \\ b = \frac{6}{7}$