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smelterretlems
@smelterretlems
July 2022
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Найдите значение выражения а^2*b^2/a^2+2ab+b^2 : ab/a+b, если a = 4 - корень из 3, b = 4 + корень из трех.
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MizoriesKun
а^2*b^2/a^2+2ab+b^2 : ab/a+b =
a
²b² a+b ab
= -------------- * ------------- = ------------
( a+b)
² ab a+b
a=4-√3 , b=4+√3
(4-√3)(4+√3) 4 ²-√3² 16-3
------------------------- = ----------- = ------------- = 13/8 =1 5/8
4-√3+4+√3 8 8
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Answers & Comments
a²b² a+b ab
= -------------- * ------------- = ------------
( a+b)² ab a+b
a=4-√3 , b=4+√3
(4-√3)(4+√3) 4 ²-√3² 16-3
------------------------- = ----------- = ------------- = 13/8 =1 5/8
4-√3+4+√3 8 8