Question

Сократите дробь:
6+√6/√30+√5 ;

9-а/3+√а

Answer 1

$frac{6+sqrt6}{sqrt{30}+sqrt5}=frac{sqrt6(sqrt6+1)}{sqrt5(sqrt6+1)}=frac{sqrt6}{sqrt5};\\ frac{9-a}{3+sqrt a}=frac{(3-sqrt a)(3+sqrt a)}{3+sqrt a}=3-sqrt a.$