## Related Words

# RADICAL EXPRESSION

## Definition of Radical Expression

A radical expression is an expression containing a square root.

### Examples of Radical Expression

v5, 3vy + 1, 6v(15), 5 � v6 are examples of radical expression

### More about Radical Expression

Radical: The v symbol 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 inv5**

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.

### Video Examples: Radical Expression

### Solved Example on Recursive Formula

**Ques**: Evaluate the radical expression (8+2vb)/a when a = 2 and b = 4.

##### Choices:

- A. 9
- B. 8
- C. 7
- D. 6

Correct Answer: D

**Solution**:

- Step 1: ( 8 + 2 v b ) / a = ( 8 + 2v4 ) / 1 [Substitute the values of a and b in the given radical expression.]
- Step 2 := ( 8 + 2 ( 2 ) ) / 2 [Find the positive square root.]
- Step 3:= ( 8 + 4 ) / 2 Multiply.]
- Step 4: = 6 [Simplify.]