[tex]a) \sqrt{8} = \sqrt{2 \times 2 \times 2} = \sqrt{(2 \times 2) \times 2} = \sqrt{ {2}^{2} \times 2 } = 2 \sqrt{2} [/tex]
[tex]b) \sqrt{12} = \sqrt{2 \times 2 \times 3} = \sqrt{(2 \times 2) \times 3} = \sqrt{ {2}^{2} \times 3 } = 2 \sqrt{3} [/tex]
[tex]c) \sqrt{18} = \sqrt{2 \times 3 \times 3} = \sqrt{(3 \times 3) \times 2} = \sqrt{ {3}^{2} \times 2 } = 3 \sqrt{2} [/tex]
[tex]d) \sqrt{20} = \sqrt{2 \times 2 \times 5} = \sqrt{(2 \times 2) \times 5} = \sqrt{ {2}^{2} \times 5 } = 2 \sqrt{5} [/tex]
[tex]e) \sqrt{24} = \sqrt{2 \times 2 \times 2 \times 3} = \sqrt{(2 \times 2) \times 2 \times 3} = \sqrt{ {2}^{2} \times 2 \times 3 } = 2 \sqrt{2 \times 3} = 2 \sqrt{6} [/tex]
[tex]f) \sqrt{27} = \sqrt{3 \times 3 \times 3} = \sqrt{(3 \times 3) \times 3} = \sqrt{ {3}^{2} \times 3 } = 3 \sqrt{3} [/tex]
[tex]g) \sqrt{28} = \sqrt{2 \times 2 \times 7} = \sqrt{(2 \times 2) \times 7} = \sqrt{ {2}^{2} \times 7 } = 2 \sqrt{7} [/tex]
[tex]h) \sqrt{32} = \sqrt{2 \times 2 \times 2 \times 2 \times 2} = \sqrt{(2 \times 2) \times (2 \times 2) \times 2} = \sqrt{ {2}^{2} \times {2}^{2} \times 2 } = (2 \times 2) \sqrt{2} = 4 \sqrt{2} [/tex]
[tex]i) \sqrt{40} = \sqrt{2 \times 2 \times 2 \times 5} = \sqrt{(2 \times 2) \times 2 \times 5} = \sqrt{ {2}^{2} \times 2 \times 5 } = 2 \sqrt{2 \times 5} = 2 \sqrt{10} [/tex]
[tex]j) \sqrt{44} = \sqrt{2 \times 2 \times 11} = \sqrt{(2 \times 2) \times 11} = \sqrt{ {2}^{2} \times 11 } = 2 \sqrt{11} [/tex]
[tex]k) \sqrt{48} = \sqrt{2 \times 2 \times 2 \times 2 \times 3} = \sqrt{(2 \times 2) \times (2 \times 2) \times 3} = \sqrt{ {2}^{2} \times {2}^{2} \times 3 } = (2 \times 2) \sqrt{3} = 4 \sqrt{3} [/tex]
[tex]l) \sqrt{45} = \sqrt{3 \times 3 \times 5} = \sqrt{(3 \times 3) \times 5} = \sqrt{ {3}^{2} \times 5 } = 3 \sqrt{5} [/tex]
[tex]m) \sqrt{50} = \sqrt{2 \times 5 \times 5} = \sqrt{(5 \times 5) \times 2} = \sqrt{ {5}^{2} \times 2 } = 5 \sqrt{2} [/tex]
[tex]n) \sqrt{52} = \sqrt{2 \times 2 \times 13} = \sqrt{(2 \times 2) \times 13} = \sqrt{ {2}^{2} \times 13 } = 2 \sqrt{13} [/tex]
