Question

Efectuati calculele : 
3√18×(2√72-3√288+5√1152-7√648)
Rezolvare completa va rog :3

Answer 1

3sqrt18=9sqrt2=a
2sqrt72=12sqrt2=b
3sqrt288=36sqrt2=c
5sqrt1152=5*3*64sqrt2=d
7sqrt648=7*18sqrt2=e
a*(b-c+d-e)=9sqrt2*sqrt2*(12-36+834)= 18*810=14580

Answer 2

radical162x(radical648-radical2592+radical28800-radical31752)=
= radical162 x (radical648-radical4*648+radical28800-radical49*648)
= radical162 x (radical648 - 2radical648 + radical28800 - 7radical648)
= radical162 x ( radical28800 - 8radical648 )
= radical162 x ( 8radical450 - 8radical648 )
= 8radical72900 - 8radical104976
= 8radical81*900 - 8radical81*1296
= 72radical900 - 72radical1296
= 72radical9*300 - 72radical9*144
= 216radical300 - 216radical144
= 2160radical3 - 2592

M-am cam complicat un pic, dar .. :D