How do you evaluate \root[ 3] { 2187} + 2\root [ 3] { 3}32187+233?

1 Answer
Jul 4, 2017

root(3)2187+2root(3)3=11root(3)332187+233=1133

Explanation:

root(3)2187+2root(3)332187+233

= root(3)(3xx3xx3xx3xx3xx3xx3)+2root(3)333×3×3×3×3×3×3+233)

= root(3)(ul(3xx3xx3)xxul(3xx3xx3)xx3)+2root(3)3

= 3xx3xxroot(3)3+2root(3)3

= 9root(3)3+2root(3)3

= 11root(3)3