Question

$x = \sqrt{3 \times 0.(592)} + \sqrt{30 \times 0.0(592)} + \sqrt{300 \times 0.00(592} + \sqrt{3000 \times 0.000(592}$
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Answer 1

Răspuns:

$x=\sqrt{3*\frac{592}{999} }+\sqrt{30*\frac{592}{9990}}+\sqrt{300*\frac{592}{99900}}+\sqrt{3000*\frac{592}{999000} } =\frac{1}{3}*\sqrt{\frac{3*592}{111} }+\frac{1}{3}*\sqrt{\frac{3*592}{111} }+\frac{1}{3}*\sqrt{\frac{3*592}{111} }+\frac{1}{3}*\sqrt{\frac{3*592}{111} }=\frac{4}{3}*\sqrt{16} =\frac{16}{3}$

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