Radicals

posted on: 13 Mar, 2012 | updated on: 22 Sep, 2012

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. 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 .

Topics Covered in Radicals

Unlike Radicals

posted on: 13 Jul, 2012 | updated on: 31 Aug, 2012

In mathematics Radicals are denoted by a symbol '√' which is put over a number. This number is called radicand. Radicals can be of two types. One is like radical and other is unlike radical. This expression is used to denot...Read More

Square Roots of Whole Numbers

posted on: 21 Mar, 2012 | updated on: 22 Sep, 2012

A Square root is the inverse operation of finding the square of any number. To understand the square roots of whole numbers, let us take any number (say x) such that
a² = x, which means that the square of a is equal to x, then we can say
√x = a, which represents that square root of x is equal to y.
As we know that if we multiply 1 by 1, we get 1. So we c...Read More

Like Radicals

posted on: 13 Jul, 2012 | updated on: 24 Jul, 2012

Radicals are root expressions of any number like Square root or Cube root. They are very important in understanding square roots, cube roots.
Radicals which have same index and same radicand are called as like Radicals. They...Read More

Cube Roots of Whole Numbers

posted on: 21 Mar, 2012 | updated on: 16 Aug, 2012

The Cube roots of whole numbers are the inverse operations of finding the cube of any number. To understand the cube root of any number, let us take any number say x such that
y³ = x, which means that the cube of y is equal to x, then we have
³√x = y, which represents that cube root of x is equal to y.
As we know that if we multiply 1 by itself 3 times, w...Read More

Operations with Radical Expressions

posted on: 21 Mar, 2012 | updated on: 15 Sep, 2012

If there exists any number a along with a positive Integer n, such that the nth root of the number a is any irrational number, then we say that ⁿ√a is the radical. When we write ⁿ√a, we say n is the order of the radical and a is the radicand. We must remember that every radical which we write is irrational number but all Irrational Numbers are not ...Read More

Square Roots of Monomial Algebraic Expressions

posted on: 05 May, 2012 | updated on: 29 May, 2012

We will first look at the word monomial. Monomial means, the algebraic expression with only one term. It can be a constant term or it can be any literal with the constant. Now let us see how to find the Square Roots of Monomial algebraic expressions. In case the monomial is a constant term, it means that we will simply find the prime factor...Read More