Răspuns:
[tex] \sqrt{1.2 \times 0.3} = \sqrt{0.36} = \sqrt{ {(0.6)}^{2} } = 0.6[/tex]
[tex] \sqrt{14 \times 42} = \sqrt{2 \times 7 \times 2 \times 3 \times 7} = \sqrt{ {2}^{2} \times {7}^{2} \times 3 } = 2 \times 7 \sqrt{3} = 14 \sqrt{3} [/tex]
[tex] \sqrt{5 \times 3.2} = \sqrt{16} = \sqrt{ {4}^{2} } = 4[/tex]
[tex] \sqrt{6 \sqrt{3} \times \sqrt{12}} = \sqrt{6 \times \sqrt{36} } = \sqrt{6 \times 6} = \sqrt{ {6}^{2} } = 6[/tex]
[tex] \sqrt{4 \sqrt{5} \times 5 \sqrt{5} } = \sqrt{4 \times 5 \times 5} = \sqrt{ {2}^{2} \times {5}^{2} } = 2 \times 5 = 10 [/tex]
[tex] \sqrt{ \sqrt{7} \times 2 \sqrt{7} } = \sqrt{2 \times 7} = \sqrt{14} [/tex]
[tex] \sqrt{ \sqrt{8} \times 9 \sqrt{2} } = \sqrt{9 \times \sqrt{16} } = \sqrt{9 \times 4} = \sqrt{ {3}^{2} \times {2}^{2} } = 3 \times 2 = 6[/tex]
[tex] \sqrt{ \sqrt{20} \times \sqrt{45} } = \sqrt{ \sqrt{900} } = \sqrt{30} [/tex]
[tex] \sqrt{2 \sqrt{2} \times \sqrt{18} } = \sqrt{2 \times \sqrt{36} } = \sqrt{2 \times 6} = \sqrt{ {2}^{2} \times 3 } = 2 \sqrt{3} [/tex]
