Explicație pas cu pas:
[tex]12 = 2 \times 2 \times 3 = {2}^{2} \times 3 \\ \implies \sqrt{12} = 2 \sqrt{3} \\ [/tex]
[tex]18 = 2 \times 3 \times 3 = 2 \times {3}^{2} \\ \implies \sqrt{18} = 3 \sqrt{2} \\ [/tex]
[tex]48 = 2 \times 2 \times 2 \times 2 \times 3 = {2}^{4} \times 3 \\ \implies \sqrt{48} = 4 \sqrt{3} \\ [/tex]
[tex]240 = 2 \times 2 \times 2 \times 2 \times 3 \times 5 = {2}^{4} \times 3 \times 5 \\ \implies \sqrt{240} = 4 \sqrt{15} \\ [/tex]
[tex]360 = 2 \times 2 \times 2 \times 3 \times 3 \times 5 = {2}^{3} \times {3}^{2} \times 5 \\ \implies \sqrt{360} = 6 \sqrt{10} \\ [/tex]
[tex]432 = 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3 = {2}^{4} \times {3}^{3} \\ \implies \sqrt{432} = 12 \sqrt{3} \\ [/tex]
