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verooon
@verooon
June 2022
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найдите значение выражения: (√8+√6)^2/7+√48
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burbalka
48 = 16 * 3
(√8+√6)^2/7+√48 = (8 + 2√48 + 6)/7 + √48 = (14 + 2√48)/7 + √48 =
= 14/7 + 2/7 *√48 + √48 = 2 + √48*(1+2/7) = 2 + √48 * 9 /7 =
= 2 + 9*√(16*3)/7 = 2 + 4*9*√3/7 = 2 + 36√3/7
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(√8+√6)^2/7+√48 = (8 + 2√48 + 6)/7 + √48 = (14 + 2√48)/7 + √48 =
= 14/7 + 2/7 *√48 + √48 = 2 + √48*(1+2/7) = 2 + √48 * 9 /7 =
= 2 + 9*√(16*3)/7 = 2 + 4*9*√3/7 = 2 + 36√3/7