Radicals

Radicals Radicals Radical is a Latin word that has the meaning of roots and sometimes it is also known as radix in mathematics.

Radicals are used to define the root of the algebraic function or other functions of abstract algebra.

Radicals math are used for many different type of concepts as linear algebra or number theory or different types of modules etc.

These are denoted using the symbol of √ (radical symbol) or radicals define the principal of nth of the value or expression S.

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Here s is the radicand that should be a real number and n is defined as the index that is always a positive integer that is greater than one.

When Radicals are simplified then it is shows in the way that in the radicals there is fraction left and In the radicand there is no factor of perfect power and radicand S have no exponents and also that is greater than the index n.

It should also be noted that if answer is a fraction then there is no radicals appear in the denominator .

There are several examples related to the radicals as follows: Examples: √ 33 (simplest form) or √ 9 . √ 2 or 2. 3 √ 6 etc.

There are many properties of radicals that are define to understand the nature of the radicals as : Property no ( 1 ) : n √ k n = k .

Property no ( 2 ) : n √ p . k = n √ p . n √ k . Property no ( 3 ) : n √ p / k = n √ p / n √ k . Examples for explain these properties : 3 √48 = 3√ 6 . 8 = 3√ 6 . 3√ 8 = 2 .

3√ 6 .

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