Question

question
solve for c. express your answer in simplest radical form if necessary.
$c = (\sqrt3{68.1})^3$

Explanation:

Step1: Recall the property of cube roots and exponents

The property of exponents and radicals states that for any real number \( a \), \( (\sqrt[3]{a})^3=a \). This is because taking the cube root of a number and then cubing it (or vice versa) undoes the operation, returning the original number.

Step2: Apply the property to the given expression

In the given expression \( c = (\sqrt[3]{68.1})^3 \), we can apply the above - mentioned property. Here, \( a = 68.1 \), so by the property \( (\sqrt[3]{68.1})^3=68.1 \).

Answer:

\( c = 68.1 \)