Question

$$\sqrt{ { 113 }^{ 2 } - { 112 }^{ 2 } }$$

Answer

15

Solution


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 \(15\).
\[15\]