sederhanakan/rasionalkan bilangan berikut 5-√5/2+√2
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[tex]\frac{5 - \sqrt{5}}{2 + \sqrt{2}} = \frac{5 - \sqrt{5}}{2 + \sqrt{2}} \times \frac{2 - \sqrt{2}}{2 - \sqrt{2}} = \frac{(5 - \sqrt{5})(2 - \sqrt{2})}{(2 + \sqrt{2})(2 - \sqrt{2})} [/tex]
[tex]= \frac{10 - 5 \sqrt{2} - 2 \sqrt{5} + \sqrt{10}}{4 - 2 \sqrt{2} + 2 \sqrt{2} - \sqrt{4}} [/tex]
[tex]= \frac{10 - 5 \sqrt{2} - 2 \sqrt{5} + \sqrt{10}}{4 - \sqrt{4}} [/tex]
[tex]= \frac{10 - 5 \sqrt{2} - 2 \sqrt{5} + \sqrt{10}}{4 - 2} = \frac{10 - 5 \sqrt{2} - 2 \sqrt{5} + \sqrt{10}}{2} [/tex]
[answer.2.content]
