Question

5.Care ditre numerele:7;-1supra2;√18;√49;2(3);-13 este  irational?
6.Calculatii:√2·(√2-√3)+(√18-√3)/√3.
7Calculati media arimetrica s ia geometrica a numerelor a=5si b=45.
8.Determinati x∈R,asfel incat Ix-√2I=√8
9.Calculatii:
16+4·{2+√2·[√2+3(√27-3√3)]-7la putere0}/(-1)l uterea 7

Answer 1

5) 7∈ N, - 1/2∈Q, √18 = √2 · 3² = 3√2 , ACESTA ESTE NR. IRATIONAL, are radical, √49 = √7² = 7∈ N, 2,(3) = nr rational, nr cu perioada, ∈q, - 13∈ Z
6) (√2)² - √2·3 + √18 ·3 - (√3)² =
   = 2 - √6 + √2 ·3²·3 - 3 = 2 - 3 - √6 + 3√6 = - 1 + 2√6 = 2√6 - 1
7) ma = ( 5 +45)/2 =50/2 = 25
   mg = √5 · 45 = √5 · 5·3² = √3²·5² = 3·5 = 15

Answer 2

5.Care dintre numerele urmatoare este irational?
7 =7/1
-1/2
√18 = 3√2  -irational
√49=7=7/1
2,(3) =21/9=7/3
-13=-13/1
 
6.Calculatii:√2·(√2-√3)+(√18-√3)/√3
2-√6+√6-1=1
7Calculati media arimetrica s ia geometrica a numerelor a=5si b=45.
(5+45)/2=25         √5x45=√225=15
8.Determinati x∈R,asfel incat Ix-√2I=√8
a)x-√2=2√2
  x=3√2
b) -(x-√2)=2√2
-x+√2=2√2
x=-√2
9.Calculatii:
16+4·{2+√2·[√2+3(√27-3√3)]-7⁰}/(-1)⁷ =
=16+4·{2+√2·[√2+3(3√3-3√3)]-1}/(-1)=
=16+4·[2+√2·(√2)-1]/(-1)=
=16+4·(2+2-1)/(-1)=
=16+12/(-1)=16-12=4