Question

Find a and b :- 5/7+3root2 = a-b root 2​

Answer 1

Step-by-step explanation:

$\frac{5}{7 + 3 \sqrt{2} } = a - b \sqrt{2} \\ \frac{5}{7 + 3 \sqrt{2} } \times \frac{7 - 3 \sqrt{2} }{7 - 3 \sqrt{2} } = a - b \sqrt{2} \\ \frac{35 - 15 \sqrt{2} }{49 - 9(2)} = a - b \sqrt{2} \\ \frac{35}{31} - \frac{15}{31} \sqrt{2} = a - b \sqrt{2} \\ a = \frac{35}{31} \\ b = \frac{ - 15}{31}$