Question

rationalize the denominator​

Answer 1

$\frac{3 \sqrt{2} + 1}{2 \sqrt{5 } - 3 } \times \frac{2 \sqrt{5} + 3}{2 \sqrt{5} + 3} \\ \\ \frac{(3 \sqrt{2} + 1)(2 \sqrt{5} + 3)}{(2 \sqrt{5} - 3)(2 \sqrt{5} + 3)} \\ \\ \frac{3 \sqrt{2} (2 \sqrt{5} + 3) + 1(2 \sqrt{5} + 3) }{ {(2 \sqrt{5} )}^{2} - ( {3)}^{2} } \\ \\ \frac{6 \sqrt{10} + 9 \sqrt{2} + 2 \sqrt{5} + 3 }{20 - 9} \\ \\ \frac{6 \sqrt{10} + 9 \sqrt{2} + 2 \sqrt{5} + 3}{11}$

Answer 2

Answer:

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