1. ∛(45*75) = ∛3375 = 15 2. √(169 * 64/49) = 13√(64/49) 3. ∛(9/32*3/2)=∛(27/64) = 3/4 4. 2√1,21*√25/121 = 2*1,1 * 5/11 = 10 *0,1=1 A. ∛27 * ∛1/64=3*1/4=3/4 B. ∛27 * ∛125=3*5=15 C. 13 * √64/49 D √4 * 1/4=√1=1 Odp. 1-B ; 2-C ; 3-A ; 4-D.
[latex]1. sqrt[3]{45}*sqrt[3]{75}=sqrt[3]{45*75}=sqrt[3]{9*5*3*25}=sqrt[3]{27*125}=\ \ =sqrt[3]{27}*sqrt[3]{125}=3*5=15\ \ 2. sqrt{169*1frac{15}{49}}=sqrt{169}*sqrt{frac{64}{49}}=13*frac{8}{7}=frac{104}{7}=14frac{6}{7}\ \ 3. sqrt[3]{frac{9}{32}}*sqrt[3]{1frac{1}{2}}=sqrt[3]{frac{9}{32}*frac{3}{2}}=sqrt[3]{frac{27}{64}}=frac{3}{4}\ \ 4. 2sqrt{1,21}*sqrt{frac{25}{121}}=2*1,1*frac{5}{11}=frac{22}{10}*frac{5}{11}=1[/latex] [latex]A. sqrt[3]{27}*sqrt[3]{frac{1}{64}}=3*frac{1}{4}=frac{3}{4}\ \ B.sqrt[3]{27}*sqrt[3]{125}=3*5=15\ \ C. 13*sqrt{frac{64}{49}}=13*frac{8}{7}=frac{104}{7}=14frac{6}{7}\ \ D. sqrt{4*frac{1}{4}}=sqrt{1}=1\ \ 1. - B\ 2. - C\ 3. - A\ 4. - D[/latex]