Question

Zapisz w postaci sumy:

a)-5(0,4√7 - 1,2√5)

b)√3(2√3 - 3)

c)½√6(10√6 + 4√⅙)

d)3√2(5- ⅙√8 + √2/2)

e)⅔√3(5√3 - 4√27 - 12)

Answer 1

Zapisz w postaci sumy:

a)-5(0,4√7 - 1,2√5)=

= -5*0,4√7  + 5*1,2*√5 =

= -2√7 + 6√5

 

b)√3(2√3 - 3)=

= 2*√3*√3 - 3√3 =

= 2*3 - 3√3 =

= 6 - 3√3

 

c)½√6(10√6 + 4√⅙)=

=1/2*10*√6*√6 + 1/2*4*√6*√(1/6) =

= 5*6 + 2*√(6*1/6) =

= 30 + 2√1 =

= 30 +2*1 =

= 30 *2 = 32

 

d)3√2(5- ⅙√8 + √2/2)=

 = 3*5*√2 - 3*1/6*√2*√8 + 3*√2*√2 /2 =

=15√2 - 1/2*√2*√4*√2 +  3*2/2 =

= 15√2 - 1/2*2*2 + 3 =

= 15√2 - 2 +3 =

= 15√2 +1

 

e)⅔√3(5√3 - 4√27 - 12)=

= 2/3*5*√3*√3 - 2/3*4*√3*√27 - 2/3*12*√3 =

= 2/3*5*3 - 2/3*4*√3*√9*√3 - 8√3 =

= 10 - 2/3* 3*3 - 8√3 =

= 10 - 6 - 8√3 =

= 4 -8√3