# Find Out the Simplest Value of x. If

**Answer: (3) – 1**

**Explanation: –
**2 + x sqrt.3 = 1/ (2 + sqrt.3)

2 + x sqrt.3 = 1 (2 – sqrt.3)/(2 + sqrt.3 ) (2 – sqrt.3)

2 + x sqrt.3 = (2 – sqrt.3) / (4 – 3)

2 + x sqrt.3 = 2 – sqrt.3

x sqrt.3 = – sqrt. 3

x = – 1

Then, the value of x is – 1.

Hence, the answer is (3) – 1.