Question

7 - 3 root 3 / 7 + 3 root 3

Answer 1

$\frac{7 - 3 \sqrt{3} }{7 + 3 \sqrt{3} } \times \frac{7 - 3 \sqrt{3} }{7 - 3\sqrt{3} } \\ \\ = \frac{ {(7 - 3 \sqrt{3}) }^{2} }{ {(7)}^{2} - {(3 \sqrt{3}) }^{2} } \\ \\ = \frac{ {(7)}^{2} - 2(7)(3 \sqrt{3}) + {(3 \sqrt{3}) }^{2} }{49 - 27} \\ \\ = \frac{49 - 42 \sqrt{3} + 27 }{22} \\ \\ = \frac{76 - 42 \sqrt{3} }{22} = \frac{38 - 21 \sqrt{3} }{11}$

Answer 2

Refer to the above solution please....

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