a)
[tex] \sqrt{ {16}^{2} \times {15}^{2} } = [/tex]
[tex]16 \times {15}^{2} = 16 \times 225 = 3.600[/tex]
[tex] \sqrt{ {18}^{2} \times {7}^{2} \times {2}^{4} } = [/tex]
[tex]18 \times {7}^{2} \times 2 {}^{4} = 18 \times 49 \times 16 = 14.112 [/tex]
[tex] \sqrt{ {3}^{4} \times {5}^{2} \times {2}^{6} } = [/tex]
[tex] {3}^{4} \times {5}^{2} \times {2}^{4} = 81 \times 25 \times 16 = 32.400[/tex]
[tex] \sqrt{ {2}^{8} \times {3}^{4} \times {7}^{2} } = [/tex]
[tex] {2}^{6} \times {3}^{4} \times {7}^{2} = 64 \times 81 \times 49 = 254.016[/tex]
b)
[tex] \sqrt{ \frac{ {15}^{2} }{ {32}^{2} } } = \frac{ {15}^{2} }{32} = \frac{225}{32} = 7.03[/tex]
[tex] \sqrt{ \frac{ {2}^{4} \times {3}^{2} }{ {5}^{4} } } = \frac{ {2}^{4} \times {3}^{2} }{ {5}^{2} } = \frac{ {6}^{6} }{ {5}^{2} } = \frac{46.656}{25} = 1.866,24[/tex]
[tex] \sqrt{ \frac{ {7}^{2} \times {2}^{2} }{ {3}^{4} } } = \frac{ {14}^{4} }{ {3}^{4} } = \frac{38.416}{81} = 474[/tex]
[tex] \sqrt{ \frac{ {25}^{2} }{ {13}^{2} \times {2}^{2} } } = \frac{ {25}^{2} }{13 \times {2}^{2} } = \frac{625}{52} = 12[/tex]
[tex] \sqrt{ \frac{ {2}^{2} \times {3}^{4 } \times {5}^{2} }{ {7}^{2} \times {11}^{2} } } = \frac{ {2}^{2} \times {3}^{2} \times {5}^{2} }{ {7}^{2} \times {11}^{2} } = \frac{4 \times 9 \times 25}{9 \times 121} = \frac{900}{1.089} = 0.82[/tex]
Trebuie sa plec,dar sper că te-am fost de folos!!!!
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