Â  Â  Â  Â
Â  Â  Â  Â  Â  Â

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 .

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

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

Radicals are root expressions of any number like Square root or Cube root. They are very important in understanding square roots, cube roots.

## Cube Roots of Whole Numbers

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

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

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