$\\sqrt3{1728} = \\square$

$\\sqrt3{1728} = \\square$

$\\sqrt3{1728} = \\square$

Answer

Explanation:

Step1: Factorize 1728

We know that (1728 = 12\times12\times12), or in exponent form (1728 = 12^{3}).

Step2: Apply cube - root property

The cube - root of a number (x) is a number (y) such that (y^{3}=x). For the cube - root of (12^{3}), by the property (\sqrt[3]{a^{3}}=a) (where (a = 12) in this case), we have (\sqrt[3]{1728}=\sqrt[3]{12^{3}} = 12).

Answer:

(12)