#### RADICALS

A radical is an expression of the form n√x which denotes the principal nth root of x.

**n√x = x(1/n)**

where:

**n** – index

**x** – radicand

**√ **– radical sign or symbol

in terms of fractional exponent:

**n√xm = (n√x)m = xm/n**

#### PROPERTIES OF RADICALS

**1.**

**n√xm = (n√x)m****2.**

**n√x ·****n√y =****n√(xy)****3. (**

**n√x) / (****n√y) =****n√(x/y), y ≠ 0****4.**

**m√(****n√x) = mn√x****5. (**

**n√x)n = x****6. (**(

**n√xn) = | x |, (n = even)****n√xn) = x, (n = odd)**