Rationalize denominator

Question

How to express 4 + √3 / 4 - √3 without a radical in the denominator?

Answer 1

Multiply the numerator and denominator by 4 + √3 (this is the conjugate of 4 - √3) to obtain:

(19 + 8√3) / 13

Answer 2

Multiply numerator and denominator by the conjugate of 4 - √3. (Look for the definition of conjugate)

(4 + √3)² / (4 - √3)(4 + √3)

Now simplify.