Question

3+2√5/3-2√5=a+√5
plz answer it fast ​

Answer 1

Step-by-step explanation:

$\frac{3 + 2 \sqrt{5} }{3 - 2 \sqrt{5} } = a + \sqrt{5} \\ \frac{3 + 2 \sqrt{5} }{3 - 2 \sqrt{5} } \times \frac{3 + 2 \sqrt{5} }{3 + 2 \sqrt{5} } = a + \sqrt{5} \\ \frac{ {(3 + 2 \sqrt{5})}^{2} }{ {(3)}^{2} - {(2 \sqrt{5})}^{2} } = a + \sqrt{5} \\ \frac{ {(3)}^{2} + 2 \times 3 \times 2 \sqrt{5} + {(2 \sqrt{5} )}^{2} }{9 - 20} = a + \sqrt{5} \\ \frac{9 + 12 \sqrt{5} + 20}{ - 11} = a + \sqrt{5} \\ \frac{29 + 12 \sqrt{5} }{ - 11} - \sqrt{5} = a \\ \frac{29 + 12 \sqrt{5} + 11 \sqrt{5} }{ - 11} = a \\ \frac{29 + 23 \sqrt{5} }{ - 11} = a$

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