Victoria is finding the value of n for the equation 1416−−−√3=141n
Victoria writes 1416−−−√3=(1416)3=1436=1412
so n=2
This is incorrect. Let's solve it correctly:
We have the equation:
$\sqrt{1416} = 141n$
To solve for $n$, we first simplify $\sqrt{1416}$:
$\sqrt{1416} = \sqrt{4 \cdot 354 = 2 \cdot \sqrt{354}}$
Now we have:
$2 \cdot \sqrt{354} = 141n$
Divide both sides by 141:
$\frac{2 \cdot \sqrt{354}}{141} = n$
Simplifying further:
$n = \frac{\sqrt{354}}{71}$
So the correct value of $n$ is $\frac{\sqrt{354}}{71}$.