Question

$\sqrt{ \frac{1*4*6+2*8*12+3*12*18+...+100*400*600}{1*2*3+2*4*6+3*6*9+...+100*200*300} } =?$

Answer 1

1*4*6+2*8*12+3*12*18+...+100*400*600
                                                              =5673
1*2*3+2*4*6+3*6*9+...+100*200*300

Answer 2

se observa ca numaratorul  il putem scrie astfel:
4(1*2*3+2*4*6+3*6*9+.....+100*200*300)

√4(1*2*3+2*4*6+3*6*9+....+100*200*300) /(1*2*3+2*4*6+3*6*9+.....+100*200*300)=
=√4=2