Question

write $sqrt4{567}$ as a radical expression in simplest form. $sqrt4{567} = \square$

Explanation:

Step1: Prime factorize 567

$567 = 3^4 \times 7$

Step2: Separate 4th power factor

$\sqrt[4]{3^4 \times 7} = \sqrt[4]{3^4} \times \sqrt[4]{7}$

Step3: Simplify the 4th root

$\sqrt[4]{3^4} = 3$, so $3 \times \sqrt[4]{7}$

Answer:

$3\sqrt[4]{7}$