Radical Expression

Definition

 A radical expression is an expression containing a square root.

Examples of Radical Expression

are examples of radical expression.

It is also an example of  Redical Expression

To solve this kind of equations, remember when you have a variable inside a square root, you undo the root by doing the opposite: squaring.

Example: Given , you would square both sides:

More about Radical Expression

Radical: Thesymbol 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.]

The terms which are Related for Redical Expression

• Expression
• Square Root
• Variable
• Radicand
• Radical
• Radical Equation
• Radical Inequality 

 Note: You can always check your answers in a solved equation by plugging your answer back into the original equation and making sure that it fits. (This is because the very act of squaring the sides can create solutions that never existed before).

Radical Expression

Zaib Abbasi

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Category: Math Notes