Verified answer

Hello

27 = 3*9 = 3*3²

108 = 12*9 = 12*3² = 2²*3²*3

√27 = 3√3

√108 = 6√3

Sum = 9√3

Hope it helps

Bye !

√27 + √108 = √(9 x 3) + √(4 x 9 x 3) = √9 x √3 + √4 x √9 x √3 = 3√3 + (2)(3)√3 = 3√3 + 6√3 = 9√3

√ ̅27 + √ ̅108

= (√ ̅9 x √ ̅3) + ( √ ̅36 x √ ̅3)

= 3 √ ̅3 + 6 √ ̅3

=9 √ ̅3 :)

√ ̅27=√ ̅9*3 --> 3√ ̅3

√ ̅108=√ ̅36*3 --> 6√ ̅3

3√ ̅3+6√ ̅3=9√ ̅3

sqrt(27) + sqrt(108) = 3*sqrt(3) + 6*sqrt(3) = 9sqrt(3), answer!