If x√12=4+x√3, the value of x is:

Correct option is A

Given:

​$$x\sqrt{12} = 4 + x\sqrt{3}$$​​

Solution:

$$x\sqrt{12} = x\times 2\sqrt{3} = 2x\sqrt{3}$$​​

$$2x\sqrt{3} = 4 + x\sqrt{3}$$​​

​$$2x\sqrt{3} - x\sqrt{3} = 4$$​​
​$$x\sqrt{3} = 4$$​​

​$$x = \frac{4}{\sqrt{3}}$$​​