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1]=⅗-(1⅖×⁵/₁₄-⁹/₁₀×¹/₉)×(-5)=
⅗-(⁷/₅×⁵/₁₄-¹/₁₀)×(-5)=
⅗-(⁵/₁₀-¹/₁₀)×(-5)=
⅗-⅖×(-5)=⅗+2=2⅗
2]
=¹³/₁₅×¹⁴/₃+(⁵³/₁₇⁵⁸/₁₃)×(¾-¾)=
¹⁸²/₄₅=4²/₄₅
3]
=(4-3√2)²=16-24√2+18=34-24√2
4]
=√[(4-2√3)(4+2√3)]=√[16-12]=√4=2
5]
1/2√5=√5/10
6]
=w liczniku:(√3-1)(4+2√3)=4√3+6-4-2√3=2√3+2
w mianowniku:
[4-2√3][4+2√3]=16-12=4
razem=(√3+1)/2
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1]=⅗-(1⅖×⁵/₁₄-⁹/₁₀×¹/₉)×(-5)=
⅗-(⁷/₅×⁵/₁₄-¹/₁₀)×(-5)=
⅗-(⁵/₁₀-¹/₁₀)×(-5)=
⅗-⅖×(-5)=⅗+2=2⅗
2]
=¹³/₁₅×¹⁴/₃+(⁵³/₁₇⁵⁸/₁₃)×(¾-¾)=
¹⁸²/₄₅=4²/₄₅
3]
=(4-3√2)²=16-24√2+18=34-24√2
4]
=√[(4-2√3)(4+2√3)]=√[16-12]=√4=2
5]
1/2√5=√5/10
6]
=w liczniku:(√3-1)(4+2√3)=4√3+6-4-2√3=2√3+2
w mianowniku:
[4-2√3][4+2√3]=16-12=4
razem=(√3+1)/2