Question

rationalize the denominator of 3-√5 divided 3+2√5

Answer 1

Answer:

9√5-19/11

Step-by-step explanation:

Explanation given in the picture.

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Answer 2

Answer:

==>> 3 - √5/ 3 + 2√5

$\frac{(3 - \sqrt{5)} }{(3 + 2 \sqrt{5}) } \times \frac{(3 - 2 \sqrt{5}) }{(3 - 2 \sqrt{5)} } \\ \frac{9 - 6 \sqrt{5} \: - 3 \sqrt{5} \: + 2 \times 5}{ {3}^{2} \: - {(2 \sqrt{5})}^{2} } \\ \frac{9 - 9 \sqrt{5} \: + 10 }{9 - 4 \times 5} \\ \frac{19 - 9 \sqrt{5}}{9 - 20} \\ \frac{19 - 9 \sqrt{5} }{ - 11} \\ \frac{- 19 + 9 \sqrt{5} }{11}$