Question

$$\sqrt{ { 62 }^{ 2 } - { 63 }^{ 2 } }$$

Answer

5*sqrt(5)*IM

Solution


Simplify  \({62}^{2}\)  to  \(3844\).
\[\sqrt{3844-{63}^{2}}\]
Simplify  \({63}^{2}\)  to  \(3969\).
\[\sqrt{3844-3969}\]
Simplify  \(3844-3969\)  to  \(-125\).
\[\sqrt{-125}\]
Simplify.
\[\sqrt{125}\imath \]
Simplify  \(\sqrt{125}\)  to  \(5\sqrt{5}\).
\[5\sqrt{5}\imath \]