Radical Expressions and Equations

A radical expression is an expression that includes a root, such as a square root, cube root, etc. For example, @@ ext{radical expression} = ext{ } oot{n}{x}@@.

The square root of a number $$x$$ is a value that, when multiplied by itself, gives the original number. It is denoted as @@ ext{ } oot{2}{x}@@.

$$\frac{1}{6}$$ .

The product property states that @@ oot{n}{a} imes oot{n}{b} = oot{n}{a imes b}@@.

$$4$$ .

The quotient property states that @@rac{ oot{n}{a}}{ oot{n}{b}} = oot{n}{rac{a}{b}}@@.

$$y=22$$ .

@@ oot{36} = 6@@.

A perfect square is an integer that is the square of another integer. For example, $$1, 4, 9, 16$$ are perfect squares.

@@4 oot{3}@@.