Radicais

Multiplicação	x−−√n×y√n=x×y−−−−−√n${\displaystyle \sqrt[n]{x}\times \sqrt[n]{y}=\sqrt[n]{x\times y}}$	ex : 2–√3×5–√3=2×5−−−−√3⇔10−−√3${\displaystyle \sqrt[3]{2}\times \sqrt[3]{5}=\sqrt[3]{2\times 5}\iff \sqrt[3]{10}}$
Divisão	x−−√n÷y√n=xy−−√n${\displaystyle \sqrt[n]{x}÷\sqrt[n]{y}=\sqrt[n]{\frac{x}{y}}}$	ex : 8–√4÷3–√4=83−−√4${\displaystyle \sqrt[4]{8}÷\sqrt[4]{3}=\sqrt[4]{\frac{8}{3}}}$
Adição	ax−−√n±bx−−√n=(a±b)x−−√n${\displaystyle a\sqrt[n]{x}\pm b\sqrt[n]{x}=(a\pm b)\sqrt[n]{x}}$	ex : 45–√3−25–√3=(4−2)5–√3⇔25–√3${\displaystyle 4\sqrt[3]{5}-2\sqrt[3]{5}=(4-2)\sqrt[3]{5}\iff 2\sqrt[3]{5}}$
Potenciação	(x−−√n)p=xp−−√n${\displaystyle {\left(\sqrt[n]{x}\right)}^p=\sqrt[n]{x^p}}$	ex : (2–√)3=23−−√⇔8–√${\displaystyle {\left(\sqrt{2}\right)}^3=\sqrt{2^3}\iff \sqrt{8}}$
Radiciação	x−−√p−−−√n=x−−√n⋅p${\displaystyle \sqrt[n]{\sqrt[p]{x}}=\sqrt[n\cdot p]{x}}$	ex : 5–√−−−√3=5–√3×2⇔5–√6${\displaystyle \sqrt[3]{\sqrt{5}}=\sqrt[3\times 2]{5}\iff \sqrt[6]{5}}$
Potência	am−−−√n=amn${\displaystyle \sqrt[n]{a^m}=a^{\frac{m}{n}}}$	ex : 45−−√3=453${\displaystyle \sqrt[3]{4^5}=4^{\frac{5}{3}}}$
Simplificar	(a−−√n)n=a${\displaystyle {\left(\sqrt[n]{a}\right)}^n=a}$	ex : (3–√)2=3${\displaystyle {\left(\sqrt{3}\right)}^2=3}$
	(a−−√n)m=am−−−√n${\displaystyle {\left(\sqrt[n]{a}\right)}^m=\sqrt[n]{a^m}}$	ex : (4–√)5=45−−√