Question

Calculati:
1*16+1*36 (totul sub radical)
49*64 - 25*144 (totul sub radical)
81*25-9*100(totul sub radical)
81*400+16*25(totul sub radical)
vreau rezolvarea....
Mersiii mult!

Answer 1

$\it\sqrt{\dfrac{1}{16}+\dfrac{1}{36}}$

Efectuam adunarea fractiilor de sub radical si obtinem:

$\it\sqrt{\dfrac{52}{16\cdot36}}$

Simplificam fractia de sub radica si obtinem:

$\it\sqrt{\dfrac{13}{4\cdot36}}=\dfrac{\sqrt{13}}{2\cdot6}=\dfrac{\sqrt{13}}{12}$

Answer 2

16=2⁴ si 36=2²*3²=>[16;36]=2⁴*3²=144=> radical din [(9+4)/144]=√13/12. 64=2⁶ si 144=2⁴*3²=> [64 ; 144]=2⁶*3²=> radical din [(441-100)/576]= √341/24. 25=5² si 100=2²*5²=>[25;100]=2²*5² =>radical din[(324-9)/100]=√315/10=3√35/10; 400=2⁴*5² si 25=5²=>[400;25]=2⁴*5²=> radical din[(81+256)/400]=√337/20