Sqrt75 + 2sqrt12-sqrt27とは何ですか?

Sqrt75 + 2sqrt12-sqrt27とは何ですか?
Anonim

回答:

#sqrt75 + 2sqrt12-sqrt27 = 6sqrt3#

説明:

#sqrt75 + 2sqrt12-sqrt27#

= #sqrt(3×5×5)+ 2sqrt(2×2×3)-sqrt(3×3×3)#

= #sqrt(3×ul(5×5))+ 2sqrt(ul(2×2)×3)-sqrt(3×ul(3×3))#

= #5sqrt3 + 2×2sqrt3-3sqrt3#

= #5sqrt3 + 4sqrt3-3sqrt3#

= #(5 + 4-3)sqrt3#

= #6sqrt3#