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Semro
@Semro
July 2022
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Помогите упростить выражения с корнями по алгебре. С подробным решением
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markat
Б)=4√7/2-0,5√56-√14/9=√(16*7/2)-0,5√56-√14/9=√56-0,5√56-14/9=√56*(1-0,5)-√14/9=0,5√56-√14/9=√(0,25*56)-√14/9=√14-√14:3=(3√14-√14)/3=2/3*√14
=(3-√5)/(3+√5)+(3+√5)/(3-√5)=((3-√5)(3-√5)+(3+√5)(3+√5)):(3-√5)(3+√5)=((9-6√5+5)+(9+6√5+5)):(9-5)=(4-5√5+14+6√5):4=(18+√5)/4
=√8√3*√3√12=√√(64*3)*√√(9*12)=√√192*√√108=√√20736=√144=12
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Answers & Comments
=(3-√5)/(3+√5)+(3+√5)/(3-√5)=((3-√5)(3-√5)+(3+√5)(3+√5)):(3-√5)(3+√5)=((9-6√5+5)+(9+6√5+5)):(9-5)=(4-5√5+14+6√5):4=(18+√5)/4
=√8√3*√3√12=√√(64*3)*√√(9*12)=√√192*√√108=√√20736=√144=12