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Designed by Vjacheslav Trushkin for Free Forums/DivisionCore. Vertė Vilius Šumskas © 2003, 2005, 2007
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N ir n
1) šaknimi iš skaičiaus a vadinamas skaičius, kurio n-tasis laipsnis yra a. Žymima taip: ![\sqrt[n]{a}](/latexrender/pictures/bf7ff33f3b129b15c06203d60f007807.png "\sqrt[n]{a}")
(skaitome n-tojo laipsnio šaknis iš a).![\sqrt[]{}](/latexrender/pictures/fe30ef6b9007d97ba11036078c300fe0.png "\sqrt[]{}")
- šaknies ženklu (kartais radikalu).![\sqrt[]{a}](/latexrender/pictures/3d48e387f88a173a4e4cf3b38dbab4a6.png "\sqrt[]{a}")
ir vadiname 
.
, 
, tai ![\sqrt[n]{a}=x](/latexrender/pictures/4b99e4eb2c1237878929ddfefcaea488.png "\sqrt[n]{a}=x")
- aritmetinė n-tojo laipsnio šaknis iš skaičiaus a.![(\sqrt[n]{a})^n=a](/latexrender/pictures/c9591708d0e4a2e5951619f26c40bc2e.png "(\sqrt[n]{a})^n=a")
, kai \ n>1.
![\sqrt[4]{a^4}=|a|](/latexrender/pictures/8707154ac9327e0c504d53cd155eb65f.png "\sqrt[4]{a^4}=|a|")
.![\sqrt[n]{a^m}=a^\frac{m}{n}](/latexrender/pictures/a52ac0a22ee2380fa94c944f79ead534.png "\sqrt[n]{a^m}=a^\frac{m}{n}")
; ![\sqrt[n]{a}=a^\frac{1}{n}](/latexrender/pictures/92e0b56b0cb0975fd25a6a161f1f3ee3.png "\sqrt[n]{a}=a^\frac{1}{n}")
.![\sqrt[n]{a \cdot b}=\sqrt[n]{a} \cdot \sqrt[n]{b}](/latexrender/pictures/7ff6ed502fe153ae4c943415d384abd0.png "\sqrt[n]{a \cdot b}=\sqrt[n]{a} \cdot \sqrt[n]{b}")
![\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}, \ kai \ b\ne 0](/latexrender/pictures/6289580cd4ce038d90c22e97eb80d2b0.png "\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}, \ kai \ b\ne 0")
.![(\sqrt[n]{a})^m=\sqrt[n]{a^m}](/latexrender/pictures/e389c46f4a1d179406884b6ec47bb27a.png "(\sqrt[n]{a})^m=\sqrt[n]{a^m}")
.![\sqrt[m]{\sqrt[n]{a}}=\sqrt[m \cdot n]{a}](/latexrender/pictures/a2ce4d58f6da919dbc0b7392adcc47aa.png "\sqrt[m]{\sqrt[n]{a}}=\sqrt[m \cdot n]{a}")
.![\sqrt[n \cdot k]{a^{m \cdot k}}=\sqrt[n]{a^m}](/latexrender/pictures/4e6db7886dc9ca9b6f3c228cbb8ce290.png "\sqrt[n \cdot k]{a^{m \cdot k}}=\sqrt[n]{a^m}")
.