Question

2√5 / 3+√5
Rasional kan ya
jangan asal​

Answer 1

Verified answer

Jawaban:

[tex]\frac{3 \sqrt{5} - 5 }{2} [/tex]

Penjelasan dengan langkah-langkah:

[tex] \frac{2 \sqrt{5} }{3 + \sqrt{5} } = \frac{2 \sqrt{5} }{3 + \sqrt{5} } \times \frac{3 - \sqrt{5} }{3 - \sqrt{5} } \\ \\ = \frac{2 \sqrt{5} (3 - \sqrt{5} )}{9- 5} \\ \\ = \frac{6 \sqrt{5} - 2(5)}{4} \\ \\ = \frac{6 \sqrt{5} - 10}{4} \\ \\ = \frac{3 \sqrt{5} - 5 }{2} [/tex]

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