Multiplying Radical expression clarification

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Homework Help Overview

The discussion revolves around the multiplication of a radical expression, specifically focusing on the expression involving a variable and a radical, such as x multiplied by 4√6.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore how to express the multiplication of x and 4√6, with some attempting to clarify the placement of the variable in relation to the radical.

Discussion Status

There are differing perspectives on the multiplication process, with some participants suggesting that x does not enter the radical, while others emphasize that 4√6 should be treated as a single entity in this context. The discussion is ongoing with no clear consensus reached.

Contextual Notes

Participants are navigating the rules of multiplication involving radicals and variables, questioning the implications of how the variable interacts with the radical expression.

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Homework Statement


This isn't really a specific question, I just need clarification on multiplying a radical expression
If I were to do...
x multiplied by 4√6, which number would receive the variable x when multiplied?


Homework Equations





The Attempt at a Solution

 
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You decide. :wink:

x multiplied by 4√6
= x·4·√6
= 4·x·√6
=4x√6

= 4·(√6)·x
= 4·√6·√(x·x)
= 4·√(6·x·x)
= 4√(6xx)
 
Last edited:
X doesn't go inside the radical if that's what you're asking.
 
4\sqrt{6} is a single number. It doesn't make sense to ask 'which gets the x'.
 

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