Question

rationalize the denominator​

Answer 1

Answer :-

$\frac{1}{7 + 3 \sqrt{2} } = \frac{1}{7 + 3 \sqrt{2} } \times \frac{7 - 3 \sqrt{2} }{7 - 3 \sqrt{2} } \\ = \frac{7 - 3 \sqrt{2} }{ {(7)}^{2} - {(3 \sqrt{2)} }^{2} } \\ = \frac{7 - 3 \sqrt{2} }{49 - 9 \times 2} \\ = \frac{7 - 3 \sqrt{2} }{49 - 18} \\ = \frac{7 - 3 \sqrt{2} }{31}$

HOPE THIS HELPS YOU!!!!!

Answer 2

Answer:

$\frac{7 - 3 \sqrt{2} }{31}$

Step-by-step explanation:

$\Large : \mapsto\: \frac{1}{7 + 3 \sqrt{2} }$

$\Large : \mapsto \frac{1}{7 + 3 \sqrt{2} } \times \frac{7 - 3 \sqrt{2} }{7 - 3 \sqrt{2} }$

$\Large : \mapsto \frac{7 - 3 \sqrt{2} }{49 - 18}$

$\Large : \mapsto \frac{7 - 3 \sqrt{2} }{31}$

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