Number of Significant Figures in Result of Square Root
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Theorem
Let $m$ be a numbers which is presented to $d$ significant figures.
Then the most significant figures that $\sqrt m$ can have is also $d$.
Proof
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Examples
Significant Figures of $\sqrt {38 \cdotp 7}$
- $\sqrt {38 \cdotp 7} = 6\cdotp 22$
Sources
- 1972: Murray R. Spiegel and R.W. Boxer: Theory and Problems of Statistics (SI ed.) ... (previous) ... (next): Chapter $1$: Computations