Question

RAPIDDDDD VAAAAA ROGGGG​

Answer 1

$x = \sqrt{3 \times \frac{3}{9} } + \sqrt{30 \times \frac{3}{90} } \times \sqrt{300 \times \frac{3}{900} } \times \sqrt{3000 \times \frac{3}{9000} } = \\ \sqrt{ \frac{9}{9} } + \sqrt{ \frac{90}{90} } + \sqrt{ \frac{900}{900} } + \sqrt{ \frac{9000}{9000 } } = \\ \sqrt{1} + \sqrt{1} + \sqrt{1} + \sqrt{1} = \\ 1 + 1 + 1 + 1 = 4$

=> x este număr natural (4 este nr nat)

Answer 2

$\sqrt{3 \times 0.(3)} = \sqrt{3 \times \frac{3}{9} } = \sqrt{ \frac{9}{9} } = \sqrt{1} = 1 \\ 0.(3) = \frac{3}{9}$

$\sqrt{30 \times 0.0(3)} = \sqrt{30 \times \frac{1}{30} } = \sqrt{ \frac{30}{30} } = \sqrt{1} = 1 \\ 0.0(3) = \frac{3}{90} = \frac{1}{30}$

$\sqrt{300 \times 0.00(3)} = \sqrt{300 \times \frac{1}{300} } = \sqrt{ \frac{300}{300} } = \sqrt{1} = 1 \\ 0.00(3) = \frac{3}{900} = \frac{1}{300}$

$\sqrt{3000 \times 0.000(3)} = \sqrt{3000 \times \frac{1}{3000} } = \sqrt{ \frac{3000}{3000} } = \sqrt{1} = 1 \\ 0.000(3) = \frac{3}{9000} = \frac{1}{300}$

=> Ecuatia ta va deveni:

1+1+1+1=4

Numarul 4 este patrat perfect deoarece 2^2=4, ceea ce inseamna ca si x este un patrat perfect.