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radical din2+radical din8+radical din18+.....+radical din 200.va rog frumos

Răspuns :

√2+√8+√18....+√200=
=√2+2√2+3√2....+10√2=
=√2(1+2+3....+10)=
=√2 × 10×(10+1)/2=
=√2 × 5×11=
=55√2


√2 + 2√2 + 3√2 + 100√2 =106√2