Surds Radicals Formulas and Notes
\displaystyle \sqrt[n]{a} \cdot \sqrt[n]{b} = \sqrt[n]{a \cdot b}
\displaystyle \sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}
\displaystyle \sqrt[n]{-a} = - \sqrt[n]{a}
\displaystyle \sqrt[n]{a} = a^{ \frac{1}{n}}
\displaystyle \sqrt[n]{a ^{n}} = a
when n is odd
\displaystyle \sqrt[n]{a ^{n}} = \left| a \right|
when n is odd
\displaystyle a^{ \frac{m}{n} } = \sqrt[n]{a ^{m}}
\displaystyle \sqrt[m]{ \sqrt[n]{a}} = \sqrt[mn]{a}
\displaystyle \sqrt[n]{ \frac{a}{b}} = \frac{ \sqrt[n]{a}}{ \sqrt[n]{b}}
