math:radicals

~~DISCUSSION|Math Discussion~~

~~TOC~~

Lab46 Tutorials

Radicals

Basic Rules & Properties

Rule 1

<latex>\sqrt[n]{a^m} = (\sqrt[n]{a})^m</latex>

Rule 2

<latex> \sqrt[n]{a} * \sqrt[n]{b}= \sqrt[n]{ab}</latex>

Rule 3

<latex> \frac{\sqrt[n]{a}}{\sqrt[n]{b}}= \sqrt[n]{\frac{a}{b}} ,b \neq 0</latex>

Rule 4

<latex>\sqrt[m]{\sqrt[n]{a}}= \sqrt[mn]{a}</latex>

Rule 5

<latex>(\sqrt[n]{a})^n}= a</latex>

Rule 6

For n even <latex>\sqrt[n]{a^n}}= |a|</latex>
For n odd <latex>\sqrt[n]{a^n}}= a </latex>