Multiplying Radical expression clarification

AI Thread Summary
When multiplying a radical expression like x by 4√6, the variable x is treated as a separate factor rather than being combined inside the radical. The expression can be simplified to 4x√6, indicating that x is multiplied by the entire radical expression. The radical 4√6 remains a single number, and x does not enter the radical. Therefore, it is incorrect to question which part of the expression receives the variable x, as it applies to the whole term. Understanding this helps clarify the multiplication of radical expressions.
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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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