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.
- A. 9
- B. 8
- C. 7
- D. 6
Correct Answer: D
- 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.]