Question

ma puteti ajuta va rog frumos cu exercițiul 1 ? dau coroanaa

Answer 1

Răspuns:

Explicație pas cu pas:

0,(6) = 6/9

54*6/9 = 36

√36 = 6

________

0,0(6) = 6/90

540*6/90 = 36

√36 = 6

________

0,00(6) = 6/900

5400*6/900 = 36

√36 = 6

________________

n = 6 + 6 + 6 = 18

Answer 2

 

$\displaystyle\bf\\n=\sqrt{54\cdot0,(6)}+\sqrt{540\cdot0,0(6)}+\sqrt{5400\cdot0,00(6)}\\\\\\n=\sqrt{54\cdot\frac{6}{9}}+\sqrt{540\cdot\frac{6}{90}}+\sqrt{5400\cdot\frac{6}{900}}\\\\\\n=\sqrt{54\cdot\frac{6}{9}}+\sqrt{540\cdot\frac{6}{90}}+\sqrt{5400\cdot\frac{6}{900}}\\\\\\n=\sqrt{\frac{54\cdot6}{9}}+\sqrt{\frac{540\cdot6}{90}}+\sqrt{\frac{5400\cdot6}{900}}\\\\\\n=\sqrt{\frac{54\cdot6}{9}}+\sqrt{\frac{54\cdot6}{9}}+\sqrt{\frac{54\cdot6}{9}}$

.

$\displaystyle\bf\\n=\sqrt{\frac{6\cdot9\cdot6}{9}}+\sqrt{\frac{6\cdot9\cdot6}{9}}+\sqrt{\frac{6\cdot9\cdot6}{9}}\\\\\\n=\sqrt{\frac{6\cdot9\cdot6}{9}}+\sqrt{\frac{6\cdot9\cdot6}{9}}+\sqrt{\frac{6\cdot9\cdot6}{9}}\\\\\\n=\sqrt{6\cdot6}+\sqrt{6\cdot6}+\sqrt{6\cdot6}\\\\\\n=\sqrt{36}+\sqrt{36}+\sqrt{36}\\\\\\n=6+6+6\\\\\\\boxed{\bf n=18}\\\\Raspuns~corect\!:~~C)~18$