How is a radical considered a "like term"?

Jan 15, 2015

Like terms are terms whose variables are the same. If both terms do not have variables, then they are still like terms.

For example,

$4 x$ and $293 x$ are like terms.

$5 x y$ and $7 y$ are not like terms.

$\sqrt{5} x$ and $65 x$ are like terms.

$56 x {y}^{2}$ and $7 x y$ are not like terms.

$5$ and $9284$ are like terms.

As to your question, radicals on their own are like terms because they all do not have a variable.

$\sqrt{43}$ and $\sqrt{53}$ are like terms, as there are no variables on both of them.