radicals and radicands

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radicals-and-radicands-2

Radicals and radicands concept

If n is a positive integer greater than 1 (greater than mean >) and ‘a’ is a real number, then any real number x such that x power n is called the nth root of a ‘

radical formula

and in symbols is written as

$Radicals and radicands concept$

In the radical $\sqrt[n]{a}\, \, the \, \, \, symbol \, \, \sqrt{}$ is called the radical sign, n is called the index real number’ a’ under the radical sign is called radicand or base (base underfoot is called radicands)

Properties of radical expression:

Let a, b ∈ R (a, b are any real number in the set of real number) and m, n are any positive integers then

Property number: 1

$property of radicals$

EXAMPLE:

$example of property of radicals$

Property number: 2

$property of radicals$

Example property of radicals:

$example of property of radicals$

property number: 3 radicals

$property of radicals$

Example of radical’s property number 3

$example of property of radicals$

property of radical’s number: 4

$property of radicals$

Example property of radicals

$example of property of radicals$

property number: 4 of radicals

$property of radicals$

Examples:

$example of property of radicals$

radicals and radicands explanation

Difference between radicals form and exponential form:

In radical’s form, radicals sign is used $x= \sqrt[n]{a}\, \, is\, \, a\, \, radiculs \, \, form$	In exponential form, exponential is used in the place of radicals
$\sqrt[3]{4}$ example of radicals form	$x=\left ( a \right )^{1/n}$ is the exponential form
$\sqrt[4]{x^{2}}$ radicals form example	$x^{3/2}$ is the example of exponential form
$\sqrt[3]{-9}$ radicals form example	$9^{3/2}$ is example of exponential form

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