-\sqrt[15]{0,064}\; \; \Rightarrow \; \; \sqrt[3]{-0,2}>\sqrt[5]{-0,4}" alt="1)\; \; a)\; \sqrt[4]5=\sqrt[12]{5^3}=\sqrt[12]{125}\; \; ;\; \; \sqrt[3]4=\sqrt[12]{4^4}=\sqrt[12]{256}\\\\125<256\; \; \Rightarrow \; \; \sqrt[12]{125}<\sqrt[12]{256}\; \; \Rightarrow \; \; \underlline {\sqrt[4]5<\sqrt[3]4}\\\\b)\; \; \sqrt[3]{-0,2}=\sqrt[15]{(-0,2)^5}=\sqrt[15]{-0,00032}=-\sqrt[15]{0,00032}\; ;\\\\\sqrt[5]{-0,4}=\sqrt[15]{(-0,4)^3}=\sqrt[15]{-0,064}=-\sqrt[15]{0,064}\; ;\\\\0,00032<0,064\; \; \Rightarrow \sqrt[15]{0,00032}<\sqrt[15]{0,064}\; \; \Rightarrow \\\\-\sqrt[15]{0,00032}>-\sqrt[15]{0,064}\; \; \Rightarrow \; \; \sqrt[3]{-0,2}>\sqrt[5]{-0,4}" align="absmiddle" class="latex-formula">
0\, ,t.k.\; D<0})(x+\sqrt[6]{3})(\underbrace {x^2-\sqrt[6]3\cdot x+\sqrt[3]3}_{>0,\, t.k.\; D<0})(x+2)(\underbrace {x^2-2x+4}_{>0,t.k.\; D<0})\leq 0\\\\(x-\sqrt[6]3)(x+\sqrt[6]3)(x+2)\leq 0\\\\znaki:\; \; \; ---[-2\, ]+++[-\sqrt[6]3]---[\sqrt[6]3]+++\\\\x\in (-\infty ,-2\, ]\cup [-\sqrt[6]3\, ,\, \sqrt[6]3\, ]" alt="2)\; \; a\leq 0\\\\4\sqrt[7]{a^7}-3\sqrt[6]{a^6}-5a=4a-3\cdot \underbrace {|a|}_{-a}-5a=4a+3a-5a=2a\\\\3)\; \; (x^6-3)(x^3+8)\leq 0\\\\(x^3-\sqrt3)(x^3+\sqrt3)(x+2)(x^2-2x+4)\leq 0\\\\(x-\sqrt[6]{3})(\underbrace {x^2+\sqrt[6]3\cdot x+\sqrt[3]3}_{>0\, ,t.k.\; D<0})(x+\sqrt[6]{3})(\underbrace {x^2-\sqrt[6]3\cdot x+\sqrt[3]3}_{>0,\, t.k.\; D<0})(x+2)(\underbrace {x^2-2x+4}_{>0,t.k.\; D<0})\leq 0\\\\(x-\sqrt[6]3)(x+\sqrt[6]3)(x+2)\leq 0\\\\znaki:\; \; \; ---[-2\, ]+++[-\sqrt[6]3]---[\sqrt[6]3]+++\\\\x\in (-\infty ,-2\, ]\cup [-\sqrt[6]3\, ,\, \sqrt[6]3\, ]" align="absmiddle" class="latex-formula">