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abduqodirovaziz
@abduqodirovaziz
November 2021
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ОСВОБОДИТЕ ЗНАМЕНАТЕЛЬ ОТ ИРРАЦИОНАЛЬНОСТИ
[tex] \frac{2 \sqrt{6} }{ \sqrt{5} + \sqrt{2} - \sqrt{3} } [/tex]
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Denik777
Verified answer
Домножим числитель и знаменатель на √5-(√2-√3). Тогда в знаменателе будет разность квадратов, и получится
2√6(√5-√2+√3)/(5-(√2-√3)²)=2√6(√5-√2+√3)/(5-(2+3-2√6))=
=2√6(√5-√2+√3)/(2√6)=√5-√2+√3.
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Answers & Comments
Verified answer
Домножим числитель и знаменатель на √5-(√2-√3). Тогда в знаменателе будет разность квадратов, и получится2√6(√5-√2+√3)/(5-(√2-√3)²)=2√6(√5-√2+√3)/(5-(2+3-2√6))=
=2√6(√5-√2+√3)/(2√6)=√5-√2+√3.