Radical Expression

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: The 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 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 and b = 4.

Choices:

A. 9

B. 8

C. 7

D. 6

Correct Answer: D

Solution:

Step 1:          [Substitute the values of a and b in 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

 

Additional Links for Radical Expression