Răspuns:
12
Explicație pas cu pas:
Numarator:
[tex]3 \sqrt{2} = \sqrt{ {3}^{2} \times 2} = \sqrt{18} [/tex]
[tex] { \sqrt{18} }^{3} \div \sqrt{18} = { \sqrt{18} }^{2} = 18[/tex]
[tex] \sqrt{75} = \sqrt{ {5}^{2} \times 3 } = 5 \sqrt{3} [/tex]
[tex]5 \sqrt{3} \times 2 \sqrt{3} = 10 \times 3 = 30 [/tex]
Rezultat numarator 48.
Numitor:
[tex] \sqrt{8} \times \sqrt{32} = \sqrt{ {2}^{3} \times {2}^{5} } = \sqrt{ {2}^{8} } = {2}^{4} = 16[/tex]
[tex]2 \sqrt{3} \times \sqrt{12} = \sqrt{ {2}^{2} \times 3 \times 12 } = \sqrt{ {12}^{2} } = 12[/tex]
Rezultat numitor 4.
[tex] = > n = \frac{48}{4} = 12 \: care \: e \: numar \: natural[/tex]
