Question

A) (4-2pierwiastki5)*(pierwiastek5+3) B)

Answer 1

A)   (4-2√5)(√5+3) = 4√5+12-2·5-6√5 = 4√5+12-10-6√5 = 2-2√5 

 

B)   0,25+(2/3)⁻¹ = 0,25+3/2 = 0,25+1,5 = 1,75 

 

C)   (-1/3)⁴-(-5/3)⁰+(-1/3)⁰ = 1/81-1+1 = 1/8

 

a)

3/5 : 9/10 - 2⅕ :(-1,1)          3/5 · 10/9 - 11/5 : (-11/10)          2/3 - 11/5 · (-10/11)

-----------------------------   =   ------------------------------------   =   ---------------------------- = 

      (2⅓ - ¾)·2⅖                         (7/3 - 3/4) · 12/5                  (28/12 - 9/12)· 12/5

 

 

       2/3 + 2                2⅔

=   ----------------   =   ---------   =   8/6 : 19/5 =   4/3 · 5/19 = 20/57  

     19/12 · 12/5          19/5

 

b)

   4-2⁻² - (3/2)⁻³ + 9·3⁻¹             4-(1/2)²- (2/3)³ + 9·(1/3)          4-(1/4)-(8/27)+3

---------------------------------   =   ---------------------------------   =   ---------------------------- =

20⁻¹ ·(1/5)⁻² - 16·(-4/3)⁻³             (1/20)·5² - 16·(-3/4)³            (25/20) - 16·(-27/64)

 

 

6¾ - 8/27          27/4 - 8/27           729/108 - 32/108          697/108            697

-------------   =   -----------------   =   -----------------------   =   --------------   =   -------

5/4 +27/4               32/4                         8                            8                  864