How do you evaluate #3\root[ 3] { 24} + \root [ 3] { 81}#?

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Answer 1 · 2017-05-10T04:46:09

#color(blue)(9root3(3)#

#3root3(24)+root3(81)#

#:.=3root3(3*2*2*2)+root3(3*3*3*3)#

#:.root3(2)*root3(2)*root3(2)=2#

#:.root3(3)*root3(3)*root3(3)=3#

#:.=2*3root3(3)+3root3(3)#

#:.=6root3(3)+3root3(3)#

#:.=3root3(3)(2+1)#

#:.=3root3(3)(3)#

#:.color(blue)(=9root3(3)#