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RADICAL EXPRESSION

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.

Video Examples: Radical Expression

Solved Example on Recursive Formula

Ques: 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 :=       
Step 3:      Multiply.]
Step 4: = 6 [Simplify.]

Quick Summary

  • Radical expressions involve roots.
  • The radicand is the expression under the radical symbol.
  • Radical expressions can be simplified.
\[ \sqrt[n]{a} \]

🍎 Teacher Insights

Emphasize the importance of simplifying radicals before performing other operations. Use visual aids to illustrate the concept of roots.

🎓 Prerequisites

  • Basic Algebra
  • Understanding of Square Roots

Check Your Knowledge

Q1: Evaluate the radical expression \sqrt{a+2b} when a = 2 and b = 4.

Q2: What is the radicand in the expression \sqrt{x+1}?

Frequently Asked Questions

Q: What is a radicand?
A: The radicand is the number or expression inside the radical symbol.

Q: How do you simplify a radical expression?
A: You simplify a radical expression by finding the largest perfect square (or cube, etc.) factor of the radicand and taking its root.

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