Question

calcule as expressões:
a) (1/2)2 + (2/3)2 + √4/9
b)(2/3)3 - (1/3)4 + √1024/729
c)4√256/81
d)√16/25 + √36/25
e)(1/2)2 + (1/3)2
f)5/2 + √121/100

Answer 1

Resposta:

Explicação passo-a-passo:

Calcule as expressões:

a) (1/2)^2 + (2/3)^2 + √4/9

= 1/4 + 4/9 + 2/3

Mmc=3,9,4=36

= (9+4.4+12.2)/36

=(9+16+24)/36

= 49/36

________

b)(2/3)^3 - (1/3)^4 + √1024/729

= 8/27 - 1/81 + 32/27

= (3.8 - 1 + 3.32)/81

= (24 - 1+96)/81

= (23 + 96)/81

= 119/81

------------

c) 4.√256/81

=4.16/9

= 64/9

Obs.:

Raiz quarta

=

4

√(256/81)

256= 4^4

81= 3^4

= 4/3

__________

d)√16/25 + √36/25

=4/5+6/5

= 10/5

= 2

_______

e)(1/2)^2 + (1/3)^2

= 1/4 + 1/9

= (9+4)/36

= 13/36

__________

f)5/2 + √121/100

=5/2+11/10

= (5.5+1.11)/10

= (25+11)/10

= 36/10 (:2)/(:2)

= 18/5

Answer 2

Resposta:

a) $23/9$

b)$33086/21$

c)$64/81$

d)$2/5$

e)$5/3$

f)$261/100$

Explicação passo-a-passo: