# How would u simplify this if possible? 2 square root of 3 + square root of 27 - square root of 1/3

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Student Comments

neela | Student

To simplify 2sqrt3+sqrt27-sqrt(1/3)

Solution:

sqrt27 = sqrt(3*3*3) = 3 sqrt3

sqrt(1/3) = 1/sqrt3 = sqrt3/(sqrt3)^2 = (1/3) sqrt3Therefore

2sqrt3+sqrt27-sqrt(1/3) =2xrt3+3sqrt3-(1/3)sqrt3 = (2+3-1/3)sqrt3

=(5-1/3) sqrt3

= (14/3) sqrt3