How do you isolate and compute the corresponding velocity when inputting a specific magnitude of length contraction?

Question

How do you isolate the velocity term from within the square root - $lo\sqrt{1-\frac{v^2}{c^2}}$ so that if I'm given the amount that length has been contracted, I can then calculate the corresponding velocity? For example, if I input a length contraction value of 0.51 the function should output a velocity of .86c

Thank you.

Answer 1

$\sqrt{1-\frac{v^2}{c^2}}=0.51$

Solve for $v$.