1. Doprowadź do postaci [latex] asqrt{2} [/latex] a) Nic :P b) 7 [latex] sqrt{2} [/latex] - [latex] sqrt{72} [/latex] c) [latex] sqrt{18} [/latex] + [latex] sqrt{8} [/latex] d) [latex] sqrt{200} - sqrt{32} [/latex] e) [latex] sqrt{162} + sqrt{12

1. Doprowadź do postaci [latex] asqrt{2} [/latex] a) Nic :P b) 7 [latex] sqrt{2} [/latex] - [latex] sqrt{72} [/latex] c) [latex] sqrt{18} [/latex] + [latex] sqrt{8} [/latex] d) [latex] sqrt{200} - sqrt{32} [/latex] e) [latex] sqrt{162} + sqrt{128} - sqrt{288} [/latex] f) [latex] sqrt{98} + sqrt{800} - sqrt{242} [/latex] 2. Doprowadź do postaci [latex] asqrt{b} [/latex] a) [latex] 8sqrt{3} + sqrt{27} [/latex] b) [latex] 7sqrt{5} - sqrt{125} [/latex] c) [latex] sqrt{48} + sqrt{12} [/latex] d) [latex] sqrt{75} - sqrt{300} [/latex] e) [latex] sqrt{72} + sqrt{50} - sqrt{32} [/latex] f) [latex] sqrt{20} + sqrt{45} - sqrt{500} [/latex]
Odpowiedź

Zadanie 1. b) [latex]7sqrt{2}-sqrt{72}=7sqrt2-6sqrt2=sqrt2[/latex] c) [latex]sqrt{18}+sqrt{8}=3sqrt2+2sqrt2=5sqrt2[/latex] d) [latex]sqrt{200}-sqrt{32}=10sqrt2-4sqrt2=6sqrt2[/latex] e) [latex]sqrt{162}+sqrt{128}-sqrt{288}=9sqrt{2}+8sqrt{2}-12sqrt{2}=5sqrt2[/latex] f)[latex]sqrt{98}+sqrt{800}-sqrt{242}=7sqrt2+20sqrt2-11sqrt2=16sqrt2[/latex] Zadanie 2. a) [latex]8sqrt3+sqrt{27}=8sqrt3+3sqrt3=11sqrt3[/latex] b) [latex]7sqrt5-sqrt{125}=7sqrt5-5sqrt{5}=2sqrt5[/latex] c) [latex]sqrt{48}+sqrt{12}=4sqrt3+2sqrt3=6sqrt3[/latex] d) [latex]sqrt{75}-sqrt{300}=5sqrt3-10sqrt3=-5sqrt3[/latex] e) [latex]sqrt{72}+sqrt{50}-sqrt{32}=6sqrt2+5sqrt2-4sqrt2=7sqrt2[/latex] f) [latex]sqrt{20}+sqrt{45}-sqrt{500}=2sqrt5+3sqrt5-10sqrt5=-5sqrt5[/latex]

Dodaj swoją odpowiedź