An explanation (with examples) for why we choose to simplify radical expressions

How to simplify a single square root expression consisting of one term

How to simplify single-term square root expressions which have variables in them

How do we simplify cube roots, fourth roots, and other radicals?

How to combine radical expressions by simplifying and combining like radicals

How to simplify expressions which contain a simple radical in the denominator

How to rationalize the denominator of a radical expression, if the denominator is a binomial with a radical

Various miscellaneous topics not yet covered in simplifying radical expressions