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**From Wolfram MathWorld:**

**Exponents** - An exponent is the power **p** in an expression of the form $$a^p$$ The process of performing the operation of raising a base to a given power is known as exponentiation. (where a ≠0)

**Radicals** - The symbol $$\sqrt[n]{x}$$ used to indicate a root is called a radical and is therefore read "x radical n," or "the nth root of x." In the radical symbol, the horizontal line is called the vinculum, the quantity under the vinculum is called the radicand, and the quantity n written to the left is called the index.

The special case $$\sqrt[2]{x}$$ is written $$\sqrt{x}$$ and is called the square root of x. $$\sqrt[3]{x}$$ is called the cube root.

Radical -- from Wolfram MathWorld

**MORE:**

**Radical** - The √ symbol that is used to denote square root or nth roots.

**Radical Expression** - A radical expression is an expression containing a square root.

**Radicand** - A number or expression inside the radical symbol.

**Radical equation** - An equation containing radical expressions with variables in the radicands.

**Radical inequality** - An inequality containing a radical expression with the variable in the radicand.

A general example to help you recognize patterns and spot the information you're looking for

Some examples of radical expressions are: $$\sqrt{5}, 3\sqrt{y} + 1, \sqrt[6]{15}, and 5 \pm \sqrt[2]{9}$$ Evaluate the radical expression: $$\frac{8 + 2\sqrt{b}}{a}$$ when a = 2 and b = 4. $$\frac{8 + 2\sqrt{b}}{a}$$ $$= \frac{8 + 2\sqrt{4}}{2}$$ $$= \frac{8 + 2(2)}{2}$$ $$= \frac{12}{2}$$ $$= 6$$It’s used in construction, like finding amount of materials for construction, etc.

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