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Albrecht
@Albrecht
August 2022
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степень с рациональным показателем, помогите пожалуйста как решать, распишите
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nKrynka
Решение
(24¹/⁴ + 6¹/⁴) / (4 * 3¹/2 + 3 * 6¹/²) =
= [24¹/² + 2 * (24*6)¹/⁴ + 6¹/²] / (4 * 3¹/² + 3 * 6¹/²) =
= (2√6 + 4 * 9¹/⁴ + √6) /
(4 * 3¹/² + 3 * 6¹/²) = (3
√6 + 4√3) / (4√3 + 3√6)) = 1
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Albrecht
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Answers & Comments
(24¹/⁴ + 6¹/⁴) / (4 * 3¹/2 + 3 * 6¹/²) =
= [24¹/² + 2 * (24*6)¹/⁴ + 6¹/²] / (4 * 3¹/² + 3 * 6¹/²) =
= (2√6 + 4 * 9¹/⁴ + √6) / (4 * 3¹/² + 3 * 6¹/²) = (3√6 + 4√3) / (4√3 + 3√6)) = 1