Sum of reciprocals of conjugate surds

This type of question, asked 2 times: 12 Sep 2025 S3, 19 Sep 2025 S3. All 2 questions below, oldest first.

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Question 1
12 Sep 2025 S3
53 $\left(\frac{1}{7 + \sqrt{2}}\right) + \left(\frac{1}{7 - \sqrt{2}}\right) - \left(\frac{14}{49 - 2}\right)$
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Question 2
19 Sep 2025 S3
71 $\frac{1}{\sqrt{7}-\sqrt{3}} + \frac{1}{\sqrt{7}+\sqrt{3}}$
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