Fundamental Mathematics/Arithmetic/Root

If there exist a number such that

A^{n}=C

Then

C^{\frac {1}{n}}=A

or

n{\sqrt {C}}=A

Therefore,

A^{\frac {m}{n}}=n{\sqrt {A^{m}}}

Mathemtical Operation

{\sqrt {0}}=Error

{\sqrt {00}}=00

{\sqrt {1}}=1

{\sqrt {-1}}=j

{\sqrt {A^{n}}}=A{\sqrt {A^{n-1}}}

A{\sqrt {A^{n-1}}}={\sqrt {A^{n}}}

{\sqrt {AB}}={\sqrt {A}}{\sqrt {B}}

{\sqrt {\frac {A}{B}}}={\frac {\sqrt {A}}{\sqrt {B}}}

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