1. Oblicz: [latex] frac{ sqrt{3}* sqrt{12}* sqrt{32}}{ sqrt{50}* sqrt{1 frac{11}{25}}} [/latex] 2. Oblicz pole prostokąta, jeżeli jego przekątna ma 11[latex] sqrt{3} [/latex] cm a jeden z jego boków ma 11 cm.

1. [latex]frac{ sqrt{3} cdot sqrt{12} cdot  sqrt{32}}{ sqrt{50} cdot sqrt{1 frac{11}{25}}}=frac{ sqrt{3} cdot 2sqrt{3} cdot 4sqrt{2}}{5 sqrt{2} cdot sqrt{frac{36}{25}}}=[/latex] [latex]frac{24}{5cdot frac{6}{5}}=frac{24}{6}=4[/latex] 2. [latex]a=11cm[/latex] [latex]d=11 sqrt{3}cm[/latex] Obliczam [latex]b[/latex] [latex]a^2+b^2=d^2[/latex] [latex]11^2+b^2=(11 sqrt{3})^2[/latex] [latex]121+b^2=363[/latex] [latex]b^2=363-121[/latex] [latex]b^2=242[/latex] [latex]b=sqrt{242}[/latex] [latex]b=11sqrt{2}cm[/latex] Obliczam pole [latex]P=ab[/latex] [latex]P=11 cdot 11sqrt{2}[/latex] [latex]P=121 sqrt{2} cm^2[/latex]