write the following in simplified radical form. $sqrt4{80}$

write the following in simplified radical form. $sqrt4{80}$

write the following in simplified radical form. $sqrt4{80}$

Answer

Explanation:

Step1: Factor 80 into perfect 4th power

$80 = 16 \times 5$

Step2: Split radical into product

$\sqrt[4]{16 \times 5} = \sqrt[4]{16} \times \sqrt[4]{5}$

Step3: Simplify perfect 4th root

$\sqrt[4]{16} = 2$, so $2 \times \sqrt[4]{5}$

Answer:

$2\sqrt[4]{5}$