Which is the best way to solve the equation x^2 = m?
A. Square both sides of the equation.
B. Multiply both sides of the equation by m.
C. Divide both sides of the equation by 2.
D. Take the square root of both sides of the equation.
The answer would be D.
The reason so can be determined by taking a look at each option.
Option A would get us \(x^4 = m^2\), and wouldn't help us in anyway.
Option B would get us \({x^2\over m}=1\), and would only get us what the value of \(x^2\over m\), but that isn't what we are looking for.
Option C would get us \({x^2\over2}={m\over2}\), and would get us nowhere.
Option D would get us \(x = \sqrt{m}\), and get us the value of \(x\) in terms of \(m\), which is more helpful, and since \(x\) is normally the unknown or what we are trying to solve,
Option D is the best way to solve the equation \(x^2 = m\).