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

Video Examples: Radical Expression

    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 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.]