How do you simplify 125v^2 = t?

2 Answers
Jul 19, 2018

v=\sqrt{t}/(5\sqrt5)

Explanation:

Assuming you are solving for v:
125v^2=t

(\cancel(125)v^2)/\cancel(125)=t/125

v^2=t/125

\sqrt{v^2}=\sqrt{t/125}

v=\sqrt{t/(5*5*5)}=\sqrt{t}/\sqrt{25*5}=\sqrt{t}/(5\sqrt{5})

Jul 19, 2018

v=+-sqrt(5t)/25

Explanation:

To isolate v:

v^2=t/125

v=+-sqrt(t/125)

v= +-(sqrtt)/(5sqrt5)*sqrt5/sqrt5= +-sqrt(5t)/25