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Además:
√a+√b=30
a*b=35721
Si elevamos al cuadrado:
(√a+√b)^2=(30)^2
a+2*√(a*b)+b=900
a+b+2*√35721=900
a+b+2*189=900
a+b+378=900
a+b=900-378
a+b=522
a=522-b
En a*b=35721
(522-b)*b=35721
522b-b2=35721
0=b2-522b+35721
0=(b-81)(b-441)
b=81 o b=441
Si b=81, a=522-81=441
Si b=441, a=522-441=81
Por lo tanto a=81 y b=441 o visceversa.