Question

Rationalize the denominator

Answer 1

`4√(3) -7`

Explanation:

Rationalize the denominator of the following expression.

`(6-4√(3) )/(6+4√(3))`

To rationalize simply means to get rid of the radical/square root in the bottom of the denominator.

To rationalize the given expression, multiply the top and bottom of the expression by the conjugate.

`(6-4√(3) )/(6+4√(3))\\\\\Longrightarrow (6-4√(3) )/(6+4√(3)) \cdot (6-4√(3) )/(6-4√(3))\\\\\Longrightarrow (84-48√(3) )/(-12) \\\\\therefore \boxed{4√(3) -7}`