Radical is the reverse mathematical operation of exponentiation If there exist ${\displaystyle A^{n}=C}$ then ${\displaystyle n{\sqrt {C}}=n}$

For example

${\displaystyle 3^{2}=9}$ therefore, ${\displaystyle {\sqrt {9}}=2}$

Mathematical operations

${\displaystyle {\sqrt {0}}=}$
${\displaystyle {\sqrt {1}}=1}$
${\displaystyle {\sqrt {-1}}=i}$

${\displaystyle n{\sqrt {a}}=a^{\frac {1}{n}}}$
${\displaystyle an{\sqrt {a}}=n{\sqrt {a^{n}a}}={\sqrt {a^{n+1}}}}$

${\displaystyle {\sqrt {ab}}={\sqrt {a}}{\sqrt {b}}}$
${\displaystyle {\sqrt {\frac {a}{b}}}={\frac {\sqrt {a}}{\sqrt {b}}}}$