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.]

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