Question

please anwer following in step by step

Answer 1

Answer:

$\frac{7 - 2 \sqrt{3} }{37}$

Step-by-step explanation:

$\frac{1}{7 + 2 \sqrt{3} }$

$= \frac{1}{7 + 2 \sqrt{3} } \times \frac{7 - 2 \sqrt{3} }{7 - 2 \sqrt{3} }$

$= \frac{7 - 2 \sqrt{3} }{ {7}^{2} - {(2 \sqrt{3} })^{2} }$

$= \frac{7 - 2 \sqrt{3} }{49 - 12}$

$= \frac{7 - 2 \sqrt{3} }{37}$

This will be the solution .

Hope this helps you.

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Answer 2

Answer:

$\frac{7 - 2 \sqrt{3} }{37}$

Step-by-step explanation:

$\frac{1}{7 + 2 \sqrt{3} }$

$= \frac{1}{7 + 2 \sqrt{3} } \times \frac{7 - 2 \sqrt{3} }{7 - 2 \sqrt{3} }$

$= \frac{7 - 2 \sqrt{3} }{ {7}^{2} - {(2 \sqrt{3} })^{2} }$

$= \frac{7 - 2 \sqrt{3} }{49 - 12}$

$= \frac{7 - 2 \sqrt{3} }{37}$

This will be the solution .

Hope this helps you.

Please mark as the brainliest.