Răspuns :
a ) A = 8√54 - 7√384 + 6√96 - 5√216 + 4√150
√54 = √9 x √6 = 3√6
√384 = √6 x √64 = 8√6
√96 = √6 x √16 = 4√6
√216 = √6 x √36 = 6√6
√150 = √6 x √25 = 5√6
A = 8 x 3√6 - 7 x 8√6 + 6 x 4√6 - 5 x 6√6 + 4 x 5√6
A = 24√6 - 56√6 + 24√6 - 30√6 + 20√6
A = - 18√6
______________________________________
B = 8√50 - 7√128 + 6√72 - 5√162 + 4√98
√50 = √2 x √25 = 5√2
√128 = √2 x √64 = 8√2
√72 = √2 x √36 = 6√2
√162 = √2 x √81 = 9√2
√98 = √2 x √49 = 7√2
B = 8 x 5√2 - 7 x 8√2 + 6 x 6√2 - 5 x 9√2 + 4 x 7√2
B = 40√2 - 56√2 + 36√2 - 45√2 + 28√2
B = 3√2
_________________
A : B = ( - 18√6 ) : 3√2 = - 6√3
B : A = 3√2 : ( - 18√6 ) = - 1 / 6√3 = - √3 / ( 6 x 3 ) = - √3 / 18