[tex]\sqrt[]{24}=\sqrt[]{4*6}=\sqrt{4} *\sqrt{6} =2\sqrt{6} \\\sqrt[3]{24} =\sqrt[3]{8*3} = \sqrt[3]{8} *\sqrt[3]{3} =2\sqrt[3]{3} \\\sqrt{2000} =\sqrt{100*20}=\sqrt{100} *\sqrt{20} =10\sqrt{20} \\\\\sqrt[3]{2000} =\sqrt[3]{1000*2} =\sqrt[3]{1000} *\sqrt[3]{2} =10\sqrt{2}\\\sqrt{40} =\sqrt{4*10} =\sqrt{4} *\sqrt{10} =2\sqrt{10} \\\sqrt[3]{40} = \sqrt[3]{8*5} =\sqrt[3]{8}*\sqrt[3]{5} = 2\sqrt[3]{5}\\\sqrt{56} =\sqrt{4*14} =\sqrt{4}*\sqrt{14} =2\sqrt{14} \\[/tex]
[tex]\sqrt[3]{56} =\sqrt[3]{8*7}=\sqrt[3]{8} *\sqrt[3]{7} =2\sqrt[3]{7} \\\sqrt{250} =\sqrt{25*10} =\sqrt{25} *\sqrt{10}=5\sqrt{10} \\\sqrt[3]{250}=\sqrt[3]{125*2}=\sqrt[3]{125} *\sqrt[3]{2} =5\sqrt[3]{2}[/tex]
