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Anastasiazapescu
a fost răspuns

va rog mult !!! urgent!!!
aduceti la forma cea mai simpla expresia 3 radical 175 - 7 radical 63 - 5 radical 700 +6 radical 847

Răspuns :

Getatotan
=3·√25·√7 - 7√9√7 - 5√100√7 + 6√121√7 =
 = 3 ·5√7 - 7 · 3√7 - 5· 10√7 + 6· 11 √7 
= ( 15  - 21 - 50 + 66)√7
= 10√7
   
[tex]3 \sqrt{175} -7 \sqrt{63} -5 \sqrt{700} +6 \sqrt{847} = \\ =3 \sqrt{25 \times 7} -7 \sqrt{9 \times 7} -5 \sqrt{100 \times 7} +6 \sqrt{121 \times 7} = \\ =3 \times 5 \sqrt{7} -7 \times 3 \sqrt{7} -5 \times 10 \sqrt{7} +6 \times 11 \sqrt{7} = \\ =15 \sqrt{7} -21 \sqrt{7} -50\sqrt{7} +66 \sqrt{7} = \boxed{10\sqrt{7}}[/tex]



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