In the following equations, find the values of \( a \) and b. P (i) \( \frac{2+\sqrt{3}}{2-\sqrt...

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In the following equations, find the values of \( a \) and
b.
P
(i) \( \frac{2+\sqrt{3}}{2-\sqrt{3}}=a+b \sqrt{3} \)
(ii) \( \frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}=a+b \sqrt{15} \)
(iii) \( \frac{5+2 \sqrt{3}}{7+4 \sqrt{3}}=a+b \sqrt{3} \)
(iv) \( \frac{\sqrt{2}+\sqrt{3}}{3 \sqrt{2}-2 \sqrt{3}}=(a+b \sqrt{6}) \)
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