Simplify \({113}^{2}\) to \(12769\).
\[\sqrt{12769-{112}^{2}}\]
Simplify \({112}^{2}\) to \(12544\).
\[\sqrt{12769-12544}\]
Simplify \(12769-12544\) to \(225\).
\[\sqrt{225}\]
Since \(15\times 15=225\), the square root of \(225\) is \(15\).
\[15\]
15