What is the magnitude of r'(t) if r'(t) is <1,2t,3t2>?

[ProPatto16]

Homework Statement

whats |r'(t)| if r'(t) is <1,2t,3t²>

Homework Equations

The Attempt at a Solution

im finding normal and binormal vectors and i need to divide r(t)/r'(t)

|r'(t)| = sqrt (1²+(2t)²+(3t²)²)

how does that simplify down to something that can be an appropriate denominator for r(t)=<t,t²,t³>

 

[HallsofIvy]

It is
\sqrt{1+ 4t^2+ 9t^4}
but it really does not reduce any more than that.

 

[ProPatto16]

yeah. just looks like its going to be a longwinded ridiculous question