Rewrite \(192\) as its prime factors.
\[\sqrt[3]{2\times 2\times 2\times 2\times 2\times 2\times 3}\]
Group the same prime factors into groups of three.
\[\sqrt[3]{(2\times 2\times 2)\times (2\times 2\times 2)\times 3}\]
Rewrite each group of three in exponent form.
\[\sqrt[3]{{2}^{3}\times {2}^{3}\times 3}\]
Use this rule: \(\sqrt[3]{{x}^{3}}=x\).
\[(2\times 2)\sqrt[3]{3}\]
Simplify.
\[4\sqrt[3]{3}\]
Decimal Form: 5.768998
4*3^(1/3)
