Explicație pas cu pas:
[tex][\sqrt{3} + \sqrt{25} ] = [\sqrt{3} + 5] = 5 + [ \sqrt{3} ][/tex]
[tex]\sqrt{1} < \sqrt{3} < \sqrt{4} \implies 1 < \sqrt{3} < 2[/tex]
atunci:
[tex][\sqrt{3} + \sqrt{25} ] = 5 + 1 = 6[/tex]
.
[tex][\sqrt{4} + \sqrt{19} ] = [2 + \sqrt{19}] = 2 + [ \sqrt{19} ] \\ [/tex]
[tex] \sqrt{16} < \sqrt{19} < \sqrt{25} \implies 4 < \sqrt{19} < 5 \\ [/tex]
atunci:
[tex][\sqrt{4} + \sqrt{19} ] = 2 + 4 = 6[/tex]
=>
[tex][\sqrt{3} + \sqrt{25} ] = [\sqrt{4} + \sqrt{19} ][/tex]
q.e.d.
