Question

write the expression in simplest radical form.
\sqrt3{945}

Explanation:

Step1: Prime factorize 945

$945 = 3^3 \times 5 \times 7$

Step2: Separate perfect cube factor

$\sqrt[3]{3^3 \times 35}$

Step3: Simplify the radical

$3\sqrt[3]{35}$

Answer:

$3\sqrt[3]{35}$