**Definition of Radical Expression**

A radical expression is an expression containing a square root.

**Examples of Radical Expression**

are examples of radical expression.

**More about Radical Expression**

Radical: Thesymbol that is used to denote square root or nth roots.

Radicand: Radicand is a number or expression inside the radical symbol.

**For example, 5 is the radicand in.**

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.

**Solved Example on Radical Expression **

Evaluate the radical expression when

a= 2 andb= 4.

Choices:

A. 9

B. 8

C. 7

D. 6

Correct Answer:D

Solution:

Step 1: [Substitute the values ofaandbin the given radical expression.]

Step 2: [Find the positive square root.]

Step 3: [Multiply.]

Step 4: [Add.]

Step 5: = 6 [Simplify.]

**Related Terms for Radical Expression**

- Expression
- Square Root
- Variable
- Radicand
- Radical
- Radical Equation
- Radical Inequality