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LisaRoss
@LisaRoss
July 2022
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kirichekov
Verified answer
√a=(⁴√a)²
1-9√a=1-(3 * ⁴√a)²=(1-3 * ⁴√a)*(1+3 * ⁴√a)
7+21* ⁴√a=7(1+3* ⁴√a)
(1-9√a)/(7+21* ⁴√a)=(1-3* ⁴√a)*(1+3* ⁴√a)/(7*(1+3* ⁴√a)=
(1-3* ⁴√a)/7
2. (4/5)⁻²=(5/4)²=25/16
(1/27)¹/³=((1/3)³)¹/³=1/3
4*379⁰=4*1=4
25/16-1/3+4=(25*3-1*16+4*48)/48=(75-16+192)/48=251/48=
5 целых 11/48
3. ³√128=³√2⁷=³√2⁶ * ³√2=2² *³√2=4* ³√2
³√(1/4)=³√(1/2)²
(4* ³√2+³√(1/2)²):³√2=4+³√(1/2)³=4+1/2=
4,5
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Answers & Comments
Verified answer
√a=(⁴√a)²1-9√a=1-(3 * ⁴√a)²=(1-3 * ⁴√a)*(1+3 * ⁴√a)
7+21* ⁴√a=7(1+3* ⁴√a)
(1-9√a)/(7+21* ⁴√a)=(1-3* ⁴√a)*(1+3* ⁴√a)/(7*(1+3* ⁴√a)=(1-3* ⁴√a)/7
2. (4/5)⁻²=(5/4)²=25/16
(1/27)¹/³=((1/3)³)¹/³=1/3
4*379⁰=4*1=4
25/16-1/3+4=(25*3-1*16+4*48)/48=(75-16+192)/48=251/48=5 целых 11/48
3. ³√128=³√2⁷=³√2⁶ * ³√2=2² *³√2=4* ³√2
³√(1/4)=³√(1/2)²
(4* ³√2+³√(1/2)²):³√2=4+³√(1/2)³=4+1/2=4,5