Simplification

We are given the equation:

%5Csqrt%7B3%7Dx%20-%202%20%3D%202%5Csqrt%7B3%7D%20%2B%204

First, isolate the term with

x

on one side by adding 2 to both sides:

%5Csqrt%7B3%7Dx%20%3D%202%5Csqrt%7B3%7D%20%2B%206

Now, divide both sides by

%5Csqrt%7B3%7D

x%20%3D%20%5Cfrac%7B2%5Csqrt%7B3%7D%20%2B%206%7D%7B%5Csqrt%7B3%7D%7D%20%3D%20%5Cfrac%7B2%5Csqrt%7B3%7D%7D%7B%5Csqrt%7B3%7D%7D%20%2B%20%5Cfrac%7B6%7D%7B%5Csqrt%7B3%7D%7D%20%3D%202%20%2B%20%5Cfrac%7B6%7D%7B%5Csqrt%7B3%7D%7D

Next, simplify

%5Cfrac%7B6%7D%7B%5Csqrt%7B3%7D%7D

. Multiply numerator and denominator by

%5Csqrt%7B3%7D

%5Cfrac%7B6%7D%7B%5Csqrt%7B3%7D%7D%20%3D%20%5Cfrac%7B6%5Csqrt%7B3%7D%7D%7B3%7D%20%3D%202%5Csqrt%7B3%7D

Thus, we have:

x%20%3D%202%20%2B%202%5Csqrt%7B3%7D

Factor out a 2:

x%20%3D%202(1%20%2B%20%5Csqrt%7B3%7D)

Therefore, the correct answer is

2(1%20%2B%20%5Csqrt%7B3%7D)

Chapter Questions
1 MCQs