Explicație pas cu pas:
[tex]n = \sqrt{54 \times 0.(6)} + \sqrt{540 \times 0.0(6)} + \sqrt{5400 \times 0.00(6)} + \sqrt{54000 \times 0.000(6)} = \\ \sqrt{54 \times \frac{6}{9} } + \sqrt{540 \times \frac{6}{90} } + \sqrt{5400 \times \frac{6}{900} } + \sqrt{54000 \times \frac{6}{9000} } = \\ \sqrt{36} + \sqrt{36} + \sqrt{36} + \sqrt{36} = \\ 6 + 6 + 6 + 6 = 24[/tex]
[tex]x = 8 {}^{4n} \times 225 {}^{2n + 1} + 15 {}^{4n} \times 64 {}^{2n + 1} = \\ 8 {}^{4n} \times 15 {}^{2 {}^{(2n + 1)} } + 15 {}^{4n} \times 8 {}^{2 {}^{(2n + 1)} } = \\ 8 {}^{4n} \times 15 {}^{4n + 2} + 15 {}^{4n} \times 8 {}^{4n + 2} = \\ 8 {}^{4n} \times 15 {}^{4n} \times (15 {}^{2} + 8 {}^{2} ) = \\ 120 {}^{4n} \times 289 \\ \sqrt{x} = \sqrt{120 {}^{4n} \times 289 } =120 {}^{2n} \times 17[/tex]
Este par oricare ar fi n
