Number of Significant Figures in Result of Square Root/Examples/Root of 38.7

Example of Use of Number of Significant Figures in Result of Square Root

$\sqrt {38 \cdotp 7} = 6\cdotp 22$

Proof

We have that:

the number of significant figures in $38 \cdotp 7$ is $3$

So from Number of Significant Figures in Result of Square Root:

the number of significant figures in $\sqrt {38 \cdotp 7}$ can be no more than $3$.

\(\ds \sqrt {38 \cdotp 7}\)

\(=\)

\(\ds 6 \cdotp 22093 \ldots\)

by calculation

\(\ds \)

\(=\)

\(\ds 6 \cdotp 22\)

to $3$ significant figures

$\blacksquare$

Sources

• 1972: Murray R. Spiegel and R.W. Boxer: Theory and Problems of Statistics (SI ed.) ... (previous) ... (next): Chapter $1$: Computations: Example 3.