\(1.414214 ^ { 2 }\) is used to approximate 2.
(ii) Write down the relationship between your answers to part (a)(i).
Fig. 1 shows some spreadsheet output.
\begin{table}[h]
A
B
C
1
2
1.414214
2
\captionsetup{labelformat=empty}
\caption{Fig. 1}
\end{table}
The formula in cell B1 is = SQRT (A1)
and the formula in cell C 1 is \(\quad = \mathrm { B } 1 \wedge 2\).
Ben evaluates \(1.414214 ^ { 2 }\) on his calculator and obtains 2.000001238 . He states that this shows that the value displayed in cell C1 is wrong.
Explain whether Ben is correct.