Question

rationalize the denominator of 1 divided by 7 + 3 root 2​

Answer 1

Hey mate here is the solution

Answer 2

$\: \: \: \: \: \frac{1}{7 + 3 \sqrt{2} } \\ = \frac{1}{7 + 3 \sqrt{2} } \times \frac{7 - 3 \sqrt{2} }{7 - 3 \sqrt{2} } \\ = \frac{7 - 3 \sqrt{2} }{ {7}^{2} - {(3 \sqrt{2} )}^{2} } \\ = \frac{7 - 3 \sqrt{2} }{49 - 18} \\ = \frac{7 - 3 \sqrt{2} }{31}$