Zadanie 5 Oblicz.
a)
\sqrt{33\frac{1}{3}}*\sqrt3=\sqrt{\frac{100}{3}* 3} =\sqrt{100} = 10
b)
\sqrt{128}*\sqrt{\frac{1}{2}}=\sqrt{128 * \frac{1}{2}}=\sqrt{64} = 8
c)
\sqrt{1\frac{5}{7}}*\sqrt{\frac{3}{7}}=\sqrt{\frac{12}{7}*\frac{3}{7}}= \sqrt{\frac{36}{49}}=\frac{6}{7}
d)
\sqrt[3]{40} * \sqrt[3]{1,25} * \sqrt[3]{20} = \sqrt[3]{40 * 1,25 * 20} = \sqrt[3]{1000} =10
e)
\sqrt[3]{\frac{4}{9}} * \sqrt[3]{\frac{2}{3}}= \sqrt[3]{\frac{4}{9} * \frac{2}{3}} = \sqrt[3]{\frac{8}{27}} = \frac{2}{3}
f)
\sqrt[3]{0,9} * \sqrt[3]{0,6} * \sqrt[3]{\frac{1}{20}} = \sqrt[3] {0,9 * 0,6 * 0,05} = \sqrt[3]{0,027} = \sqrt[3]{0,3^3} = 0,3