Răspuns:
Explicație pas cu pas:
a)
2√75 = 2√3*25 = 2*5√3 = 10√3
√27 = √9*3 = 3√3
3√12 = 3√4*3 = 3*2√3 = 6√3
√48 = √16*3= 4√3
-------
4√3*(10√3 - 3√3 + 6√3) -2√3*4√3
= 4√3*13√3 - 24
= 156 - 24 = 132
___________________
b)
√243 = √81*3 = 9√3
√147 = √49*3 = 7√3
3√8 = 3√4*2 = 3*2√2 = 6√2
5√72 = 5√36*2 = 5*6√2 = 30√2
6√128 = 6√64*2 = 6*8√2 = 48√2
---------
(9√3 - 2√3)*7√3 + 6√2*(30√2 + 48√2)
= 7√3*7√3 + 6√2*78√2
= 147 + 936 = 1083
