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Działania na pierwiastkach 
Opracowała: mgr Joanna Stróżyk
• 푎2 = 푎 
• 푎 2 = 푎 
• 푎 ⋅ 푎 = 푎 
Zadanie 1 
Wykonaj obliczenia: 
• 5 8 
2 
=
• 푎2 = 푎 
• 푎 2 = 푎 
• 푎 ⋅ 푎 = 푎 
Zadanie 1 
Wykonaj obliczenia: 
• 5 8 
2 
= 5 ⋅ 8 
2
• 푎2 = 푎 
• 푎 2 = 푎 
• 푎 ⋅ 푎 = 푎 
Zadanie 1 
Wykonaj obliczenia: 
• 5 8 
2 
= 5 ⋅ 8 
2 
= 52 ⋅ 8 
2
• 푎2 = 푎 
• 푎 2 = 푎 
• 푎 ⋅ 푎 = 푎 
Zadanie 1 
Wykonaj obliczenia: 
• 5 8 
2 
= 5 ⋅ 8 
2 
= 52 ⋅ 8 
2 
= 25 ⋅ 8 = 200
• 푎2 = 푎 
• 푎 2 = 푎 
• 푎 ⋅ 푎 = 푎 
Zadanie 1 
Wykonaj obliczenia: 
• 5 8 
2 
= 5 ⋅ 8 
2 
= 52 ⋅ 8 
2 
= 25 ⋅ 8 = 200 
• 6 ⋅ 5 6 =
• 푎2 = 푎 
• 푎 2 = 푎 
• 푎 ⋅ 푎 = 푎 
Zadanie 1 
Wykonaj obliczenia: 
• 5 8 
2 
= 5 ⋅ 8 
2 
= 52 ⋅ 8 
2 
= 25 ⋅ 8 = 200 
• 6 ⋅ 5 6 = 6 ⋅ 5 ⋅ 6
• 푎2 = 푎 
• 푎 2 = 푎 
• 푎 ⋅ 푎 = 푎 
Zadanie 1 
Wykonaj obliczenia: 
• 5 8 
2 
= 5 ⋅ 8 
2 
= 52 ⋅ 8 
2 
= 25 ⋅ 8 = 200 
• 6 ⋅ 5 6 = 6 ⋅ 5 ⋅ 6 = 6 ⋅ 6 ⋅ 5
• 푎2 = 푎 
• 푎 2 = 푎 
• 푎 ⋅ 푎 = 푎 
Zadanie 1 
Wykonaj obliczenia: 
• 5 8 
2 
= 5 ⋅ 8 
2 
= 52 ⋅ 8 
2 
= 25 ⋅ 8 = 200 
• 6 ⋅ 5 6 = 6 ⋅ 5 ⋅ 6 = 6 ⋅ 6 ⋅ 5 = 6 ⋅ 5 = 30
• 푎2 = 푎 
• 푎 2 = 푎 
• 푎 ⋅ 푎 = 푎 
Zadanie 1 
Wykonaj obliczenia: 
• 5 8 
2 
= 5 ⋅ 8 
2 
= 52 ⋅ 8 
2 
= 25 ⋅ 8 = 200 
• 6 ⋅ 5 6 = 6 ⋅ 5 ⋅ 6 = 6 ⋅ 6 ⋅ 5 = 6 ⋅ 5 = 30 
• 9 
4 
=
• 푎2 = 푎 
• 푎 2 = 푎 
• 푎 ⋅ 푎 = 푎 
Zadanie 1 
Wykonaj obliczenia: 
• 5 8 
2 
= 5 ⋅ 8 
2 
= 52 ⋅ 8 
2 
= 25 ⋅ 8 = 200 
• 6 ⋅ 5 6 = 6 ⋅ 5 ⋅ 6 = 6 ⋅ 6 ⋅ 5 = 6 ⋅ 5 = 30 
• 9 
4 
= 9 
2 2
• 푎2 = 푎 
• 푎 2 = 푎 
• 푎 ⋅ 푎 = 푎 
Zadanie 1 
Wykonaj obliczenia: 
• 5 8 
2 
= 5 ⋅ 8 
2 
= 52 ⋅ 8 
2 
= 25 ⋅ 8 = 200 
• 6 ⋅ 5 6 = 6 ⋅ 5 ⋅ 6 = 6 ⋅ 6 ⋅ 5 = 6 ⋅ 5 = 30 
• 9 
4 
= 9 
2 2 
= 9 2
• 푎2 = 푎 
• 푎 2 = 푎 
• 푎 ⋅ 푎 = 푎 
Zadanie 1 
Wykonaj obliczenia: 
• 5 8 
2 
= 5 ⋅ 8 
2 
= 52 ⋅ 8 
2 
= 25 ⋅ 8 = 200 
• 6 ⋅ 5 6 = 6 ⋅ 5 ⋅ 6 = 6 ⋅ 6 ⋅ 5 = 6 ⋅ 5 = 30 
• 9 
4 
= 9 
2 2 
= 9 2 = 81
Działania na pierwiastkach 
Opracowała: mgr Joanna Stróżyk

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Zadanie1- pierwiastki

  • 1. Działania na pierwiastkach Opracowała: mgr Joanna Stróżyk
  • 2. • 푎2 = 푎 • 푎 2 = 푎 • 푎 ⋅ 푎 = 푎 Zadanie 1 Wykonaj obliczenia: • 5 8 2 =
  • 3. • 푎2 = 푎 • 푎 2 = 푎 • 푎 ⋅ 푎 = 푎 Zadanie 1 Wykonaj obliczenia: • 5 8 2 = 5 ⋅ 8 2
  • 4. • 푎2 = 푎 • 푎 2 = 푎 • 푎 ⋅ 푎 = 푎 Zadanie 1 Wykonaj obliczenia: • 5 8 2 = 5 ⋅ 8 2 = 52 ⋅ 8 2
  • 5. • 푎2 = 푎 • 푎 2 = 푎 • 푎 ⋅ 푎 = 푎 Zadanie 1 Wykonaj obliczenia: • 5 8 2 = 5 ⋅ 8 2 = 52 ⋅ 8 2 = 25 ⋅ 8 = 200
  • 6. • 푎2 = 푎 • 푎 2 = 푎 • 푎 ⋅ 푎 = 푎 Zadanie 1 Wykonaj obliczenia: • 5 8 2 = 5 ⋅ 8 2 = 52 ⋅ 8 2 = 25 ⋅ 8 = 200 • 6 ⋅ 5 6 =
  • 7. • 푎2 = 푎 • 푎 2 = 푎 • 푎 ⋅ 푎 = 푎 Zadanie 1 Wykonaj obliczenia: • 5 8 2 = 5 ⋅ 8 2 = 52 ⋅ 8 2 = 25 ⋅ 8 = 200 • 6 ⋅ 5 6 = 6 ⋅ 5 ⋅ 6
  • 8. • 푎2 = 푎 • 푎 2 = 푎 • 푎 ⋅ 푎 = 푎 Zadanie 1 Wykonaj obliczenia: • 5 8 2 = 5 ⋅ 8 2 = 52 ⋅ 8 2 = 25 ⋅ 8 = 200 • 6 ⋅ 5 6 = 6 ⋅ 5 ⋅ 6 = 6 ⋅ 6 ⋅ 5
  • 9. • 푎2 = 푎 • 푎 2 = 푎 • 푎 ⋅ 푎 = 푎 Zadanie 1 Wykonaj obliczenia: • 5 8 2 = 5 ⋅ 8 2 = 52 ⋅ 8 2 = 25 ⋅ 8 = 200 • 6 ⋅ 5 6 = 6 ⋅ 5 ⋅ 6 = 6 ⋅ 6 ⋅ 5 = 6 ⋅ 5 = 30
  • 10. • 푎2 = 푎 • 푎 2 = 푎 • 푎 ⋅ 푎 = 푎 Zadanie 1 Wykonaj obliczenia: • 5 8 2 = 5 ⋅ 8 2 = 52 ⋅ 8 2 = 25 ⋅ 8 = 200 • 6 ⋅ 5 6 = 6 ⋅ 5 ⋅ 6 = 6 ⋅ 6 ⋅ 5 = 6 ⋅ 5 = 30 • 9 4 =
  • 11. • 푎2 = 푎 • 푎 2 = 푎 • 푎 ⋅ 푎 = 푎 Zadanie 1 Wykonaj obliczenia: • 5 8 2 = 5 ⋅ 8 2 = 52 ⋅ 8 2 = 25 ⋅ 8 = 200 • 6 ⋅ 5 6 = 6 ⋅ 5 ⋅ 6 = 6 ⋅ 6 ⋅ 5 = 6 ⋅ 5 = 30 • 9 4 = 9 2 2
  • 12. • 푎2 = 푎 • 푎 2 = 푎 • 푎 ⋅ 푎 = 푎 Zadanie 1 Wykonaj obliczenia: • 5 8 2 = 5 ⋅ 8 2 = 52 ⋅ 8 2 = 25 ⋅ 8 = 200 • 6 ⋅ 5 6 = 6 ⋅ 5 ⋅ 6 = 6 ⋅ 6 ⋅ 5 = 6 ⋅ 5 = 30 • 9 4 = 9 2 2 = 9 2
  • 13. • 푎2 = 푎 • 푎 2 = 푎 • 푎 ⋅ 푎 = 푎 Zadanie 1 Wykonaj obliczenia: • 5 8 2 = 5 ⋅ 8 2 = 52 ⋅ 8 2 = 25 ⋅ 8 = 200 • 6 ⋅ 5 6 = 6 ⋅ 5 ⋅ 6 = 6 ⋅ 6 ⋅ 5 = 6 ⋅ 5 = 30 • 9 4 = 9 2 2 = 9 2 = 81
  • 14. Działania na pierwiastkach Opracowała: mgr Joanna Stróżyk