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kotkot765
@kotkot765
November 2021
1
19
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Выполните действия:
а) (2 + √3) (1 - √3)
б) (√2 - √5) (2√2 + √5)
в) (√7 - √12) (√7 - 3√3)
г) (2√5 - √18) (√18 +√5) - √90
д) (а + √с) (а - √с)
е) (1 + 3√2) (3√2 - 1)
ж) (1 - 2√3)²
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Answers & Comments
Miky14
А) (2 + √3) (1 - √3)= 2-2√3+√3-3= -1-√3
б) (√2 - √5) (2√2 + √5)= 4+√10-2√10-5
в) (√7 - √12) (√7 - 3√3)= 7 - √189 - √84 + 18 = 25 - 3√21 - 2√21 = 25 - 5
√21
г) (2√5 - √18) (√18 +√5) - √90=2√270+2√75-18-√90-√90=2*3√30+2*5√3-18-3√10-3√10=6√30+10√3-6√10-18
д) (а + √с) (а - √с) =а
²-√с²=а²-с
е) (1 + 3√2) (3√2 - 1)= (3√2+1)×(3√2-1)=9×2-1=18-1=17
ж) (1 - 2√3)²=1-4
√3+12=13-4√3
5 votes
Thanks 4
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Answers & Comments
б) (√2 - √5) (2√2 + √5)= 4+√10-2√10-5
в) (√7 - √12) (√7 - 3√3)= 7 - √189 - √84 + 18 = 25 - 3√21 - 2√21 = 25 - 5√21
г) (2√5 - √18) (√18 +√5) - √90=2√270+2√75-18-√90-√90=2*3√30+2*5√3-18-3√10-3√10=6√30+10√3-6√10-18
д) (а + √с) (а - √с) =а²-√с²=а²-с
е) (1 + 3√2) (3√2 - 1)= (3√2+1)×(3√2-1)=9×2-1=18-1=17
ж) (1 - 2√3)²=1-4√3+12=13-4√3