Radical Expressions

By: Marwan Mohamed

What is a Radical Expression ??

The n'th root of a real number "A" can be written as the radical expression n√a ( N root A ). A radical expression includes a root sign. "N" is called the index of the radical and "A" is called the radicand.


1) When a radical sign shows no index, it represents a square root.


2) When a number has more than one real root, the radical sign indicates only the principal or the positive root.

Undefined and Defined !!

Defined: Odd and even indices with positive radicands will produce real roots.


Undefined: While Even indices with negative radicands has no real roots.

Operations with Radical Expressions

Simplification

What is it ? and Additional Informations !

√4x^2* x^2 = √4√x^2* √x^2


*Radical Expressions can be written as Rational exponent. n√a = (a^1/n)...


*The exponent 1/n indicates the Nth root of A


* 4√7^3 = 7^3/4

Note That !!

The rules of the exponent applies also for fractional exponents.


x^1/2 * x^1/2 = x^1

Algebra 2 - Operations on Radical Expressions