Many electronic calculators have a squareroot key. All you do is enter a number and press this key. Here is the theory that calculators use to find the squareroots.
Logarithms in base e are called natural logarithms. Log_{e}x is written lnx.
Now, from t(lnx) = ln(x^{t}) and x = e^{lnx}, we have x^{1/n} = e^{(1/n)lnx}. For squareroots then, √x = e^{(1/2)lnx}.
You may discern that the method that the calculator uses to find squareroots is really the logarithm method discussed previously, except that the calcualator uses natural logarithms.
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