Oblicz. a) [latex] sqrt{3} [/latex] *[latex] sqrt{12} [/latex] b) [latex] sqrt{2/3} [/latex]*[latex] sqrt{3/8} [/latex] c) [latex] sqrt{ 1i 7/25} [/latex]*[latex] sqrt{0,08} [/latex] d) ³√2 * ³√32 e) ³√0,5 * ³√54 f) ³√8,1 : ³√300 g) √34⁴ h)³√(-19)

Oblicz. a) [latex] sqrt{3} [/latex] *[latex] sqrt{12} [/latex] b) [latex] sqrt{2/3} [/latex]*[latex] sqrt{3/8} [/latex] c) [latex] sqrt{ 1i 7/25} [/latex]*[latex] sqrt{0,08} [/latex] d) ³√2 * ³√32 e) ³√0,5 * ³√54 f) ³√8,1 : ³√300 g) √34⁴ h)³√(-19)³ i) √3²+4²
Odpowiedź

a) [latex] sqrt{3} *sqrt{12}= sqrt{36} =6 [/latex] b) [latex] sqrt{ frac{2}{3} } * sqrt{ frac{3}{8} } = sqrt{ frac{6}{24} } = sqrt{ frac{1}{4} } = frac{1}{2} [/latex] c) [latex] sqrt{1 frac{7}{25} } * sqrt{0,08} = sqrt{ frac{32}{25}* frac{8}{100} } = sqrt{ frac{256}{2500} } = frac{16}{50} = frac{8}{25} [/latex] d)[latex] sqrt[3]{2} * sqrt[3]{32} = sqrt[3]{64}= 4[/latex] e)[latex] sqrt[3]{0,5} * sqrt[3]{54} = sqrt[3]{0,5*54} = sqrt[3]{27} =3[/latex] f)[latex] sqrt[3]{8,1} : sqrt[3]{300} = sqrt[3]{ frac{81}{10} * frac{1}{300} } = sqrt[3]{ frac{27}{10}* frac{1}{100} } = sqrt[3]{ frac{27}{100} }= frac{3}{10} [/latex] g)[latex] sqrt{ 34^{4} } = sqrt{ 34^{2}* 34^{2} }= sqrt{ 34^{2} } *sqrt{ 34^{2} } =34*34=1156[/latex] h)-19 g)[latex] sqrt{9+16} = sqrt{25} =5[/latex]

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