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2761105ra
@2761105ra
March 2022
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zhenyaM2002
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Пишу подробно :
4√3 - 3√27 + 2√243 = 4√3 - 3√(9*3) + 2√(81*3) =
= 4√3 - 3√(3²*3) + 2√(9²*3) = 4√3 - (3*3)*√3 + (2*9)*√3 =
= 4√3 - 9√3 +18√3 = (4√3 + 18√3 ) - 9√3 = 22√3 - 9√3 =
= 13√3
(13√3 )² = 13² * (√3)² = 13² * 3 = 169*3 = 507
Ответ : 507.
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Answers & Comments
Verified answer
Пишу подробно :4√3 - 3√27 + 2√243 = 4√3 - 3√(9*3) + 2√(81*3) =
= 4√3 - 3√(3²*3) + 2√(9²*3) = 4√3 - (3*3)*√3 + (2*9)*√3 =
= 4√3 - 9√3 +18√3 = (4√3 + 18√3 ) - 9√3 = 22√3 - 9√3 =
= 13√3
(13√3 )² = 13² * (√3)² = 13² * 3 = 169*3 = 507
Ответ : 507.