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De demonstrat ca urmatorul numar este rational:
2√3-1/√3-2√3-√5/√15+2/√5=


Răspuns :

(2√3-1)/√3-(2√3-√5)/√15+2/√5=

=(2√3-1)√3/3-(2√3-√5)√15/15+2√5/5=

=(6-√3)/3-(2√45-√75)/15+2√5/5=

=(6-√3)/3-(6√5-5√3)/15+2√5/5=

=30-5√3-6√5+5√3+6√5=

=30