To divide radicals, divide the numbers outside and inside the radical. If a radical remains in the denominator after dividing, you rationalize the denominator by multiplying the denominator and numerator by the radical in the denominator. For example, (x + 1)/x can be rationalized to (x(x + 1))/x^2 by multiplying the denominator and numerator by x.

2. Similar to multiplying radicals, to divide you simply divide the
numbers outside the radical and then divide the numbers inside
the radical.
Example:

3. If a radical remains in the denominator, you rationalize the
denominator as follows,
𝑥 + 1
𝑥
=
𝑥 + 1
𝑥
∙
𝑥
𝑥
=
𝑥(𝑥 + 1)
𝑥2
=
𝑥 𝑥 + 1
𝑥

4. Question 7:
When would you rationalize the denominator?