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81:n×n÷n÷n=1.Ce valoare are n?

Răspuns :

[tex] \frac{81}{n} * \frac{n}{n} * \frac{1}{n} =1 \\ \\ \frac{81n}{ n^{3} } =1 \\ \\ \frac{81}{ n^{2} }=1 [/tex]

[tex] n^{2} = 1*81*1 \\ n^{2} = 81[/tex]

=>  [tex] n= \sqrt{81} [/tex]

Facem verificare:

81:√81×√81÷√81÷√81 = 1 => 81÷81÷√81÷√81 = 1 => 1÷1=1 (A)