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numarul ( [tex] (\frac{ \sqrt{20} }{3} - \frac{1}{ \sqrt{5} } ) ( \frac{10}{ \sqrt{125} } + \frac{12}{ \sqrt{180} } [/tex] este :

Răspuns :

(√20/3-1/√5)(10/√125+12/√180)=
=(2√5/3-√5/5)(10/5√5+12/6√5)=
=(10√5-3√5)/15 * (10√5/25+12√5/30)=
=7√5/15 * (2√5/5+4√5/10)=
=7√5/15 * (4√5+4√5)/10=
=7√5/15 * 8√5/10=
=7*8*5/15*10=
=56/30=
=28/15