√(3) x - 2 = {4}^(2) ​

Question

`√(3) x - 2 = {4}^(2)`
​

Answer 1

`x=6*√(3)`

Explanation:

Given:

`√(3)x -2=4^(2)`

To Find:

x =?

Solution:

We have,

`√(3)x -2=4^(2)\\\\√(3)x -2=16\\\\√(3)x=16+2\\\\√(3)x =18\\\\x=(18)/(√(3) )`

As square root of 3 is in denominator we will rationalize the denominator i.e multiply and divide by square root 3,so we get

`\therefore x = (18)/(√(3) )* (√(3) )/(√(3) ) \\ \\\therefore x=(18)/(3)* √(3)\\\\\therefore x=6√(3)`

∴ x = 6√3 is the final answer.