Find the values of \( a \) and \( b \) in each of the following: (Vv) (i) \( \frac{5+2 \sqrt{3}}...
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Find the values of \( a \) and \( b \) in each of the following:
(Vv)
(i) \( \frac{5+2 \sqrt{3}}{7+4 \sqrt{3}}=a-6 \sqrt{3} \)
(ii) \( \frac{3-\sqrt{5}}{3+2 \sqrt{5}}=a \sqrt{5}-\frac{19}{11} \)
(iii) \( \frac{\sqrt{2}+\sqrt{3}}{3 \sqrt{2}-2 \sqrt{3}}=2-b \sqrt{6} \)
(iv) \( \frac{7+\sqrt{5}}{7-\sqrt{5}}-\frac{7-\sqrt{5}}{7+\sqrt{5}}=a+\frac{7}{11} \sqrt{5} b \)
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