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RADICAL

RADICAL

Definition Of Radical

The symbol √, which is used to represent the square root of a number, is called as Radical.

More About Radical

The number under the root symbol is called radicand.
The expression is read as "a radical n" or "the n th root of a"
The expression is read as "ath root of b raised to the c power

Examples of Radical

,etc. are some of the examples of radical.

 is also written as

Video Examples: Radical Equation Examples

Solved Example on Radical

Ques: What is the radical form of 

Choices:

A. 
B. 
C. 
D. 

Correct Answer: A

Solution:

Step 1:-  =  [Use the formula  = ]

 

Quick Summary

  • The radical symbol (√) represents a root.
  • The radicand is the number under the radical symbol.
  • The index (n) indicates which root to take (e.g., square root, cube root).
\[ \sqrt[n]{a} = b \]

🍎 Teacher Insights

Emphasize the relationship between radicals and exponents. Use visual aids to demonstrate square roots and cube roots. Relate the concept to real-world problems, such as calculating the length of a side of a square given its area.

🎓 Prerequisites

  • Exponents
  • Basic Arithmetic

Check Your Knowledge

Q1: What is the simplified form of √16?

Q2: What is the radical form of x^(1/2)?

Frequently Asked Questions

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

Q: What is the difference between a square root and a cube root?
A: A square root (index of 2) asks what number multiplied by itself equals the radicand. A cube root (index of 3) asks what number multiplied by itself twice equals the radicand.

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