Root is an arithmatic operation opposite to power . If there exists $a^{n}=b$ Then ${\sqrt {b}}=a$

Square root of zero is zero

- ${\sqrt {0}}=0$

Square root of one is one

- ${\sqrt {1}}=1$

Square root of negative one is an imaginary number i

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

- ${\sqrt {a}}{\sqrt {-a}}={\sqrt {-a^{2}}}=i{\sqrt {a^{2}}}$
- ${\sqrt {a}}{\sqrt {a}}=a$
- ${\sqrt {a}}{\sqrt {b}}={\sqrt {ab}}$
- ${\frac {\sqrt {a}}{\sqrt {b}}}={\sqrt {\frac {a}{b}}}$
- ${\sqrt {a^{n}}}=a{\sqrt {a^{(}n-2)}}$
- $({\sqrt {a}})^{n}=a^{(}n-2)$