Does x multiply the coefficient or the radicand in x·4√6?

[DPXJube]

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

 

[NascentOxygen]

You decide.

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)

 

[e^(i Pi)+1=0]

X doesn't go inside the radical if that's what you're asking.

 

[HallsofIvy]

$4\sqrt{6}$ is a single number. It doesn't make sense to ask 'which gets the x'.