[latex]sqrt{48}=sqrt{16} cdot sqrt{3}=4sqrt{3}[/latex] [latex] sqrt[3]{80}=sqrt[3]{8} cdot sqrt[3]{10}=2sqrt[3]{10} [/latex] [latex] sqrt[3]{120}=sqrt[3]{8} cdot sqrt[3]{15} =2sqrt[3]{15}[/latex] [latex]3sqrt{5}=sqrt{9} cdot sqrt{5}=sqrt{45}[/latex] [latex]5sqrt[3]{2}=sqrt[3]{125} cdot sqrt[3]{2}=sqrt[3]{250}[/latex] [latex]2sqrt{7}=sqrt{4} cdot sqrt{7}=sqrt{28}[/latex]
[latex] sqrt{48} [/latex] = [latex] sqrt{48} = sqrt{6} * sqrt{16} = 4 sqrt{6} [/latex] [latex] sqrt[3]{80} = sqrt[3]{8} * sqrt[3]{10} = 2 sqrt[3]{10} [/latex] [latex]3 sqrt{5} = sqrt{ 3^{2} * 5} = sqrt{9*5} = sqrt{45} [/latex] [latex]5 sqrt[3]{2} = sqrt[3]{ 5^{3} * 2} = sqrt[3]{125 * 2} = sqrt[3]{250} [/latex] [latex]2 sqrt{7} = sqrt{ 2^{2} * 7} = sqrt{4*7} = sqrt{28} [/latex]