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\sqrt {a \cdot b} = \sqrt {a}\cdot \sqrt{b}

 

 

\sqrt {3 \cdot 6} = \sqrt {3}\cdot \sqrt{6}

 

 

 

\sqrt \frac{a}{b} = \frac {\sqrt{a}}{\sqrt{b}}

 

 

 

\sqrt \frac{9}{3} = \frac {\sqrt{9}}{\sqrt{3}}

 

 

^n\sqrt {a \cdot b} = ^n\sqrt {a}\cdot ^n\sqrt{b}

 

 

^2\sqrt {4 \cdot 16} = ^2\sqrt {4}\cdot ^2\sqrt{16}

 

 

^n\sqrt \frac{a}{b} = \frac {^n\sqrt{a}}{^n\sqrt{b}}

 

 

^3\sqrt \frac{81}{3} = \frac {^3\sqrt{81}}{^3\sqrt{3}}

 

 

Øvelser:

\sqrt {25 \cdot 36} 


\sqrt {4 \cdot 9\cdot 81} 

 

^3\sqrt {125 \cdot 9\cdot 27} 

 

^4\sqrt {16 \cdot 9\cdot 625} 

 

\sqrt \frac{1}{16}


\sqrt \frac{81}{121}


^3\sqrt \frac{1}{27}

 

^3\sqrt \frac{8}{1000}

 

^3\sqrt \frac{125}{216}