Question

Va roog ajutati-ma! DAU COROANA!!

Answer 1

x= √3*0,(3)+√30*0.0(3)+ √300*0,00(3)+√3000* 0.000(3) =
0,(3)=3/9=1/3
0.0(3)=3/90=1/30
0.00(3)=3/900=1/300
0.000(3)=3/9000=1/3000

= √3*1/3+√30*1/30+ √300*1/300+√3000*30000 =
=√1+√1+√1+√1=4 =2² deci patrat perfect


A= 3^2n*25^n+1-9^n+1* 5^2n=
=3^2n*5^2n+2-3^2n+2* 5^2n=
=3^2n*5^2n(5^2-3^2)=
=3^2n*5^2n×(25-9)=
=3^2n*5^2n×16=
=3*5^2n×4^2=
=(15^n×4)^2  deci patrat perfect

daca n impar  15^n×4=impar  ×  impar  ×  par =par
daca n impar  15^n×4=impar  ×  par  ×  par =par

pentru n=0  (15^n×4)^2 =(15^0×4)^2 =(1×4)^2=16  nu se divide cu 15


(3√49-2×√25):√121 =(3√7²-2*√5²):√11² =(3×7-2×5):11 =(21-10):11 =11:11=1

(13√144-5√196)×√(√361-√225)= (13×12-5×14)×√(19-15)=(156-70)×2=172
  √(3⁴+ 3²* 2+1  * (2* √1296-3*√841)=
=  √(3⁴+ 3²* 2+1* (2*36-3*29)=
=  √(3⁴+ 3²* 2+1* (-15)=
=  √(81+ 18+1)( -15)= √100 *(-15)=10*15=-150