If 7-3-5-3-5-7-3-5-3-5 - -5- find the values of a and b-

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Introduction: Fractions

If 7+3√5/3+√5...

Question

If $\frac{7 + 3 \sqrt 5}{3 + \sqrt 5} - \frac{7 - 3 \sqrt 5}{3 - \sqrt 5} = a + b \sqrt 5$ , find the values of $a$ and $b$ .

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\frac{(\sqrt{5} + \sqrt{3})}{(\sqrt{5} - \sqrt{3})} = a + \sqrt{15} b

(5 a - 7 b)^{3} + (9 c - 5 a)^{3} + (7 b - 9 c)^{3}

Find the values of a and b if 7+3√5/3+√5 - 7-3√5/3-√5 = a+b√5

a

b

\frac{7 + 3 \sqrt{5}}{3 + \sqrt{5}} - \frac{7 - 3 \sqrt{5}}{3 - \sqrt{5}} = a + \sqrt{5} b

\frac{7 + 3 \sqrt{5}}{3 + \sqrt{5}} - \frac{7 - 3 \sqrt{5}}{3 - \sqrt{5}}

a + b \sqrt{5}

(i) \frac{5 + 2 \sqrt{3}}{7 + 4 \sqrt{3}} = a - 6 \sqrt{3}

(i i) \frac{3 - \sqrt{5}}{3 + 2 \sqrt{5}} = a \sqrt{5} - \frac{19}{11}

(i i i) \frac{\sqrt{2} + \sqrt{3}}{3 \sqrt{2} - 2 \sqrt{3}} = 2 - b \sqrt{6}

(i v) \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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