Na zdjęciu są 3 zadania, potrzebuje je rozwiązać do jutra z góry dzięki.

Na zdjęciu są 3 zadania, potrzebuje je rozwiązać do jutra z góry dzięki.
Odpowiedź

ZADANIE 2. a) [latex]4 sqrt{2} + sqrt{8} = 4 sqrt{2} + sqrt {4*2} = 4sqrt {2} + 2sqrt {2} = 6 sqrt {2} [/latex] b) [latex] sqrt{32} - 3 sqrt {2} = sqrt {16*2} - 3 sqrt {2} = 4 sqrt {2} - 3 sqrt {2} = sqrt {2} [/latex] c) [latex] sqrt{18} + sqrt {8} = sqrt {9*2} + sqrt {4*2} = 3 sqrt {2} + 2 sqrt {2} = 5 sqrt {2} [/latex] d) [latex] sqrt{200} - sqrt {50} = sqrt {100*2} - sqrt {25*2} = 10 sqrt {2} - 5 sqrt {2} = 5 sqrt {2} [/latex] e) [latex] sqrt{18} + sqrt {72} + sqrt {98} = sqrt {9*2} + sqrt {36*2} + sqrt {49*2} = 3 sqrt {2} + 6 sqrt {2} + 7 sqrt {2} = 16 sqrt {2} [/latex] f) [latex] sqrt{800} + sqrt {242} - sqrt {162} = sqrt {400*2} + sqrt {121*2} - sqrt {81*2} = 20 sqrt {2} + 11 sqrt {2} - 9sqrt {2} = 22 sqrt {2}[/latex] ZADANIE 3 a) [latex]7 sqrt{5} + sqrt {20} = 7 sqrt {5} + sqrt {4*5} = 7 sqrt {5} + 2 sqrt {5} = 9 sqrt {5}[/latex]. b) [latex] sqrt{48} - sqrt {3} = sqrt {16*3} - sqrt {3} = 4 sqrt {3} - sqrt {3} = 3 sqrt {3}[/latex] c) [latex]sqrt {12} + sqrt {27} = sqrt {4*3} + sqrt {9*3} = 2 sqrt {3} + 3 sqrt {3} = 5 sqrt {3}[/latex] d) [latex]sqrt {45} - sqrt {125} = sqrt {9*5} - sqrt {25*5} = 3 sqrt {5} - 5 sqrt {5} = -2 sqrt {2} [/latex] e) [latex]0,2 sqrt {50} + 0,8 sqrt {72} - 0,3 sqrt {32} = 0,2 sqrt {25*2} + 0,8 sqrt {36*2} - 0,3 sqrt{16*2} = 0,3*5 sqrt {2} + 0,8*6 sqrt {2} - 0,3*4 sqrt {2} = 1,5 sqrt {2} + 4,8 sqrt {2} - 1,2 sqrt {2} = 5,1 sqrt {2}[/latex] f) [latex]3 sqrt {20} - frac{1}{3} sqrt {45} - 5 sqrt {180} = 3 sqrt {4*5} - frac{1}{3} sqrt {9*5} - 5 sqrt {36*5} = 3*2 sqrt {5} - frac{1}{3}*3 sqrt {5} - 5*6 sqrt {5} = 6 sqrt {5} - 3 sqrt {5} - 30 sqrt {5} = -27 sqrt {5} [/latex] ZADANIE 5. a) [latex] sqrt{12} * sqrt {3} = sqrt {36} = 6 [/latex] b) [latex] sqrt{32} * sqrt {8} = sqrt {256} = 16 [/latex] c) [latex] sqrt{10} * sqrt {40} = sqrt {400} = 20 [/latex] d) [latex] sqrt{18} * sqrt {50} = sqrt {900} = 30 [/latex] e) [latex] sqrt{28} * sqrt {63} = sqrt {1764} = 42 [/latex] f) [latex]sqrt {45} * sqrt {20} = sqrt {900} = 30[/latex] g) [latex]sqrt {30} * sqrt {480} = sqrt {14400} = 120[/latex] h) [latex] sqrt{80} * sqrt {180} = sqrt {14400} = 120 [/latex]

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