Calculus.
posted by fatih .
Use a linear approximation (or differentials) to estimate the given number.
radical (99.4)

√99.4 = √(100.6)
The slope of y=√x is 1/2√x
at x=10, slope is .05
so, a linear approximation is
∆y/.6 = .05
∆y = .03
y∆y = 10.03 = 9.97
check: √99.4 = 9.96995
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