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**Definition**

**A radical expression is an expression containing a square root.**

**Examples of Radical Expression**

are examples of radical expression.It is also an example of Redical Expression

To solve this kind of equations, remember when you have a variable inside a square root, you undo the root by doing the opposite: squaring. |
Example:Given , you would square both sides: |

**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 whenThe terms which are Related for Redical Expressiona= 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.]

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

**Note:**You can always check your answers in a solved equation by plugging your answer back into the original equation and making sure that it fits. (This is because the very act of squaring the sides can

*create*solutions that never existed before).

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