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Rezultatul calculului √5,76x0,(5)-0,4 este....... vreau detailat

Răspuns :

[tex]\sqrt{5,76}*0,(5)-0,4=\\\\ = \sqrt{ \frac{576}{100} } * \frac{5}{9} - \frac{4}{10}\\\\ = \frac{ \sqrt{576}}{10} * \frac{5}{9} - \frac{4}{10}\\\\ =\frac{24*5 }{90} - \frac{4}{10}\\\\ = \frac{120}{90}- \frac{36}{90} \\\\=\frac{84}{90} \\\\ =0,9(3) [/tex]
√5,76×0,(5)-0,4=
=
[tex] \sqrt{ \frac{576}{100} } * \frac{5}{9} - \frac{4}{10}= \frac{ \sqrt{576}}{10} * \frac{5}{9} - \frac{4}{10} =\frac{24*5 }{90} - \frac{4}{10} = \frac{120}{90}- \frac{36}{90} =\frac{84}{90} [/tex]
=0,9(3)