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andrey585588
@andrey585588
July 2022
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1/(√7-2)-2/(√7+2)-2√7
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fiofionina
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Решение:
1/( √7-2) - 2/ (√7+2) - 2√7
Приведём выражение к общему знаменателю: (√7-2)(√7+2) или (√7)²-2²= (7-4)=3
(√7+2)*1/(√7+2)*(√7-2) - (√7-2)*2/ (√7-2)*(√7+2) -3*2*√7/3=(√7+2)/3- (2√7+4)/3- 6√7)/3=(√7+2-2√7+4-6√7)/3=(6+-7√7)/3
Ответ: (6-7√7)/3
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Answers & Comments
Verified answer
Решение:1/( √7-2) - 2/ (√7+2) - 2√7
Приведём выражение к общему знаменателю: (√7-2)(√7+2) или (√7)²-2²= (7-4)=3
(√7+2)*1/(√7+2)*(√7-2) - (√7-2)*2/ (√7-2)*(√7+2) -3*2*√7/3=(√7+2)/3- (2√7+4)/3- 6√7)/3=(√7+2-2√7+4-6√7)/3=(6+-7√7)/3
Ответ: (6-7√7)/3