Rฤspuns :
โโ18โโโ il simplificam = 3โโ2โโโ
2ร3โโ2โโโโ5โโ8โโโ+3โโ2โโโโโโ50โโโโโ8โโโ il simplificam 2โโ2
2ร3โโ2โโโโ5ร2โโ2โโโ+3โโ2โโโโโโ50
โโ50โโโ il simplificam 5โโ2โโโ
2ร3โโ2โโโโ5ร2โโ2โโโ+3โโ2โโโโ5โโ2โโโ2ร3โโ2โโโ il simplificam= 6โโ2โโโ
6โโ2โโโโ5ร2โโ2โโโ+3โโ2โโโโ5โโ2โโโ5ร2โโ2 il simplifica =10โ2
6โโ2โโโโ10โโ2โโโ+3โโ2โโโโ5โโ2= โ6โ2
b
3โโ2โโโโ(7โโ2โโโโ5โโ6โโโโ3โโ8โโโ+โโ30โโโ) ..... simplificam โ8 =2โโ2โโโ
3โโ2โโโโ(7โโ2โโโโ5โโ6โโโโ3ร2โโ2โโโ+โโ30โโโ) 3ร2โ2= 6โโ2 3โโ2โโโโ(7โโ2โโโโ5โโ6โโโโ6โโ2โโโ+โโ30โโโ) aranjam un pic3โโ2โโโโ((7โโ2โโโโ6โโ2โโโ)โ5โโ6โโโ+โโ30โโโ)
simplificam(7โโ2โโโโ6โโ2โโโ)โ5โโ6โโโ+โโ30 =โโ2โโโโ5โโ6โโโ+โโ30
3โโ2โโโโ(โโ2โโโโ5โโ6โโโ+โโ30โโโ)
3โโ2โโโโโโ2โโโ+5โโ6โโโโโโ30
(3โโ2โโโโโโ2โโโ)+5โโ6โโโโโโ30= iar rezultatul= 2โโ2โโโ+5โโ6โโโโโโ30
c 5โโ98โโโโ2โโ162โโโ+โ[tex] \sqrt[3]{375} - 2 \sqrt[3]{192} [/tex]
โโ98 = 7โโ2
5ร7โโ2โโโโ2โโ162โโโ+โ3โโโโ375โโโโ2โ3โโโโ192
โโโโโ162= [tex]9 \sqrt{2} [/tex]
5ร7โโ2โโโโ2ร9โโ2โโโ+โ3โโโโ375โโโโ2โ3โโโโ192 simplificam โโ375=5โโโโ3โโโ (nu uita de 3 deasupra radicalului)
deasemenea simplificam [tex] \sqrt[3]{192} = 4\sqrt[3]{3} [/tex]
35โโ2โโโโ2ร9โโ2โโโ+5โ<3>โโโโ3โโโโ2ร4โ<3โโ>โโ3 (<3> e deasupra radicalului)
2ร9โโ2=18โโ2
35โโ2โโโโ18โโ2โโโ+5โ<3>โโโโ3โโโโ2ร4<โ3>โโโโ3
35โโ2โโโโ18โโ2โโโ+5โ<3>โโโโ3โโโโ8<โ3>โโโโ3โโโ
(35โโ2โโโโ18โโ2โโโ)+(5โ<3>โโโโ3โโโโ8<โ3>โโโโ3โโโ)
iar rezultatul este = 17โ2โโโ+5โ<3>โโโโ3โโโโ8<โ3>โโโโ3โโโ
d <3>โโ175โโโโ3<โ3>โโโโ24โโโ+2<โ3>โโโโ192
<3>โโ24= 2โ<3>โโโโ3โโโ
<3>โโ175โโโโ3ร2<โ>3โโโโ3โโโ+2<โ3>โโโโ192
<3>โโ192โ=โโ4โ<3>โโโโ3
<3>โโ175โโโโ3ร2<โ3>โโโโ3โโโ+2ร4<โ3>โโโโ3
<3>โโ175โโโโ6โ<3>โโโโ3โโโ+2ร4<โ3>โโโโ3
iar rezultatul =<3>โโ175โโโโ6<โ3>โโโโ3โโโ+8<โ3>โโโโ3
e
<3>โโ16โโโ+<โ3>โโโโ40โโโโ2<โ3>โโโโ250
<3>โโ16=2โ<3>โโโโ2
2โ<3โ>โโโ2โโโ+<โ3>โโโโ40โโโโ2<โ3>โโโโ250
<3>โโ40=2โ<3>โโโโ5
โโโ2โ<3>โโโโ2โโโ+2<โ3>โโโโ5โโโโ2<โ3>โโโโ250
<3>โโ250โโโ =5โ<3>โโโโ2โโโ
2โ<3>โโโโ2โโโ+2<โ3>โโโโ5โโโโ2ร5<โ3>โโโโ2
โโfolosim o regula [tex] x^{a} x^{b} = x^{a+b}[/tex]
[tex]2la puterea \frac{4}{3} [/tex] +2โ<3>โโโโ5โโโโ2ร5โ<3>โโโโ2
2ร5โ<3>โโโโ2= 10โ<3>โโโโ2โโโ
iar rezultatul
[tex]2la puterea \frac{4}{3} [/tex] +2<3โ>โโโ5โโโโ10<โ3>โโโโ2โโโ
Finish.....finally
2ร3โโ2โโโโ5โโ8โโโ+3โโ2โโโโโโ50โโโโโ8โโโ il simplificam 2โโ2
2ร3โโ2โโโโ5ร2โโ2โโโ+3โโ2โโโโโโ50
โโ50โโโ il simplificam 5โโ2โโโ
2ร3โโ2โโโโ5ร2โโ2โโโ+3โโ2โโโโ5โโ2โโโ2ร3โโ2โโโ il simplificam= 6โโ2โโโ
6โโ2โโโโ5ร2โโ2โโโ+3โโ2โโโโ5โโ2โโโ5ร2โโ2 il simplifica =10โ2
6โโ2โโโโ10โโ2โโโ+3โโ2โโโโ5โโ2= โ6โ2
b
3โโ2โโโโ(7โโ2โโโโ5โโ6โโโโ3โโ8โโโ+โโ30โโโ) ..... simplificam โ8 =2โโ2โโโ
3โโ2โโโโ(7โโ2โโโโ5โโ6โโโโ3ร2โโ2โโโ+โโ30โโโ) 3ร2โ2= 6โโ2 3โโ2โโโโ(7โโ2โโโโ5โโ6โโโโ6โโ2โโโ+โโ30โโโ) aranjam un pic3โโ2โโโโ((7โโ2โโโโ6โโ2โโโ)โ5โโ6โโโ+โโ30โโโ)
simplificam(7โโ2โโโโ6โโ2โโโ)โ5โโ6โโโ+โโ30 =โโ2โโโโ5โโ6โโโ+โโ30
3โโ2โโโโ(โโ2โโโโ5โโ6โโโ+โโ30โโโ)
3โโ2โโโโโโ2โโโ+5โโ6โโโโโโ30
(3โโ2โโโโโโ2โโโ)+5โโ6โโโโโโ30= iar rezultatul= 2โโ2โโโ+5โโ6โโโโโโ30
c 5โโ98โโโโ2โโ162โโโ+โ[tex] \sqrt[3]{375} - 2 \sqrt[3]{192} [/tex]
โโ98 = 7โโ2
5ร7โโ2โโโโ2โโ162โโโ+โ3โโโโ375โโโโ2โ3โโโโ192
โโโโโ162= [tex]9 \sqrt{2} [/tex]
5ร7โโ2โโโโ2ร9โโ2โโโ+โ3โโโโ375โโโโ2โ3โโโโ192 simplificam โโ375=5โโโโ3โโโ (nu uita de 3 deasupra radicalului)
deasemenea simplificam [tex] \sqrt[3]{192} = 4\sqrt[3]{3} [/tex]
35โโ2โโโโ2ร9โโ2โโโ+5โ<3>โโโโ3โโโโ2ร4โ<3โโ>โโ3 (<3> e deasupra radicalului)
2ร9โโ2=18โโ2
35โโ2โโโโ18โโ2โโโ+5โ<3>โโโโ3โโโโ2ร4<โ3>โโโโ3
35โโ2โโโโ18โโ2โโโ+5โ<3>โโโโ3โโโโ8<โ3>โโโโ3โโโ
(35โโ2โโโโ18โโ2โโโ)+(5โ<3>โโโโ3โโโโ8<โ3>โโโโ3โโโ)
iar rezultatul este = 17โ2โโโ+5โ<3>โโโโ3โโโโ8<โ3>โโโโ3โโโ
d <3>โโ175โโโโ3<โ3>โโโโ24โโโ+2<โ3>โโโโ192
<3>โโ24= 2โ<3>โโโโ3โโโ
<3>โโ175โโโโ3ร2<โ>3โโโโ3โโโ+2<โ3>โโโโ192
<3>โโ192โ=โโ4โ<3>โโโโ3
<3>โโ175โโโโ3ร2<โ3>โโโโ3โโโ+2ร4<โ3>โโโโ3
<3>โโ175โโโโ6โ<3>โโโโ3โโโ+2ร4<โ3>โโโโ3
iar rezultatul =<3>โโ175โโโโ6<โ3>โโโโ3โโโ+8<โ3>โโโโ3
e
<3>โโ16โโโ+<โ3>โโโโ40โโโโ2<โ3>โโโโ250
<3>โโ16=2โ<3>โโโโ2
2โ<3โ>โโโ2โโโ+<โ3>โโโโ40โโโโ2<โ3>โโโโ250
<3>โโ40=2โ<3>โโโโ5
โโโ2โ<3>โโโโ2โโโ+2<โ3>โโโโ5โโโโ2<โ3>โโโโ250
<3>โโ250โโโ =5โ<3>โโโโ2โโโ
2โ<3>โโโโ2โโโ+2<โ3>โโโโ5โโโโ2ร5<โ3>โโโโ2
โโfolosim o regula [tex] x^{a} x^{b} = x^{a+b}[/tex]
[tex]2la puterea \frac{4}{3} [/tex] +2โ<3>โโโโ5โโโโ2ร5โ<3>โโโโ2
2ร5โ<3>โโโโ2= 10โ<3>โโโโ2โโโ
iar rezultatul
[tex]2la puterea \frac{4}{3} [/tex] +2<3โ>โโโ5โโโโ10<โ3>โโโโ2โโโ
Finish.....finally