Question

Cum se rationalizeaza exercitiile urmatoare?

a) 3√5-1 supra √10
b) 2 supra √5-√3
c) 6-3√5 supra √3-1

Multumesc mult!

Answer 1

a)(3√5-1)/√10=
=√10(3√5-1)/10=
=(15√2-√10)/10

b)2/(√5-√3)=
=2(√5+√3)/(√5+√3)(√5-√3)=
=2(√5+√3)/(5-3)=
=2(√5+√3)/2=
=√5+√3

c)(6-3√5)/(√3-1)=
=(6-3√5)(√3+1)/(√3+1)(√3-1)=
=(6√3-6-3√15+3√5)/(3-1)=
=(6√3-6-3√15+3√5)/2