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1998naira
@1998naira
July 2022
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Sqrt(10-sqrt96)-sqrt(10+sqrt96) пожалуйста помогите
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diganeji
Sqrt ( 10 - sqrt(96)) = sqrt(10 - 4sqrt(6)) = sqrt ((2- sqrt(6))^2) = sqrt(6) - 2
sqrt ( 10 + sqrt(96)) = sqrt(10 + 4sqrt(6)) = sqrt ((2+ sqrt(6))^2) = sqrt(6) + 2
т.к. 10 - 4sqrt(6) = 2^2 + (sqrt(6))^2 - 4sqrt(6)= (sqrt(6) - 2)^2
аналогично и другие
sqrt(6) - 2 - (sqrt(6) + 2) = -4
1 votes
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Answers & Comments
sqrt ( 10 + sqrt(96)) = sqrt(10 + 4sqrt(6)) = sqrt ((2+ sqrt(6))^2) = sqrt(6) + 2
т.к. 10 - 4sqrt(6) = 2^2 + (sqrt(6))^2 - 4sqrt(6)= (sqrt(6) - 2)^2
аналогично и другие
sqrt(6) - 2 - (sqrt(6) + 2) = -4