Найдите значение выражения [tex]\frac{(3 \sqrt{5} - \sqrt{3})^{2} }{16- \sqrt{60} } [/tex]. Created by welcome124. algebra-ru

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Найдите значение выражения [tex]\frac{(3 \sqrt{5} - \sqrt{3})^{2} }{16- \sqrt{60} } [/tex]

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thesanderchat =(9*5 - 6*√15 + 3)/(16-2*√15)=(48-6*√15)/(16-2√15) , умножим и поделим дробь на 16+2√15
(48-6√15)*(16+2√15)/196=4*(24-3√15)*(8+√15)/196=(192+24√15-45-24√25)/49=147/49=3

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