Question

State, with reason, if the following are surds and or not :$\sqrt[3]{3-125}$

Answer 1

$\sqrt[3]{3-125}$

$=\sqrt[3]{3-1\times 5\times 5\times 5}$

$=5\sqrt[3]{3-1}$

$=5\sqrt[3]{3-1\times -1\times -1}$

$=-5$

since, it does not remain in root form

so, it is not a surd