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arata ca urmatoarele numere naturale sunt patrate perfecte 5 la 54,
17 la 26,
7 la 58 ,
25 la 31,
4 la 53,
13 la 34,
9 la29,
49 la 27


Răspuns :

[tex] {5}^{54} = {5}^{27 \times 2} = {( {5}^{27} )}^{2} = > p.p[/tex]

[tex] {17}^{26} = {17}^{13 \times 2} = { ({17}^{13}) }^{2} = > p.p[/tex]

[tex] {7}^{58} = {7}^{29 \times 2} = {( {7}^{29}) }^{2} = > p.p[/tex]

[tex] {25}^{31} = {( {5}^{2} )}^{31} = { ({5}^{31} )}^{2} = > p.p[/tex]

[tex] {4}^{53} = {( {2}^{2} )}^{53} = { ({2}^{53} )}^{2} = > p.p[/tex]

[tex] {13}^{34} = {13}^{17 \times 2} = { ({13}^{17}) }^{2} = > p.p[/tex]

[tex] {9}^{29} = {( {3}^{2}) }^{29} = { ({3}^{29}) }^{2} = > p.p[/tex]

[tex] {49}^{27} = {( {7}^{2}) }^{27} = {( {7}^{27}) }^{2} = > p.p[/tex]