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RADICAND

Radicand

Definition Of Radicand

The quantity under the square root symbol or radical symbol is called as Radicand.

Examples of Radicand

 : Here the radicand is 5.
: Here the radicand is 5.

Video Examples: What is a radicand

Solved Example on Radicand

Ques: Which of the following radicands is multiplied on both the numerator and the denominator of  to rationalize the denominator?.

Choices:

A. 
B.  
C. 
D. 10
Correct Answer: D

Solution:

Step 1:  [Original equation.]
Step 2:10 is the radicand that is to be multiplied on both the numerator and the denominator. [The number in the root symbol is called the radicand.]
Step 3:  [Multiply both the numerator and the denominator with the radicand 10 so that the denominator is rationalized.]
Step 4: 
Step 5: So, the radicand 10 is multiplied on both the numerator and the denominator of the expression to rationalize the denominator.

Quick Summary

  • The radicand is the number inside the square root symbol.
  • It represents the value we want to find the root of.
  • Rationalizing the denominator often involves manipulating the radicand.
\[ \sqrt{x} \]

🍎 Teacher Insights

Use visual aids and real-world examples to help students grasp the concept. Emphasize the difference between the radicand and the root. Provide plenty of practice problems involving simplifying radicals and rationalizing denominators.

🎓 Prerequisites

  • Square Roots
  • Understanding of fractions
  • Basic Multiplication and Division

Check Your Knowledge

Q1: What is the radicand in the expression √16?

Q2: In the expression √(x+1), what is the radicand?

Frequently Asked Questions

Q: What happens if the radicand is negative?
A: If dealing with real numbers, a negative radicand under a square root results in an imaginary number. However, cube roots (or any odd root) of negative numbers are real.

Q: Can the radicand be a variable?
A: Yes, the radicand can be a variable or an algebraic expression.

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