Question

enter the correct answer in the box.

what is this expression in simplified form?

\\(\sqrt3{88}\\)

Explanation:

⚡ Using what you learned: simplifying radical expressions

Step 1: Find perfect cube factors

Find the prime factorization of \(88\) to identify any perfect cube factors (\(a^3\)):

$$ 88 = 8 \times 11 = 2^3 \times 11 $$

Step 2: Simplify the radical

Apply the product property of radicals, \(\sqrt[3]{a \cdot b} = \sqrt[3]{a} \cdot \sqrt[3]{b}\):

$$ \sqrt[3]{88} = \sqrt[3]{2^3 \cdot 11} = \sqrt[3]{2^3} \cdot \sqrt[3]{11} = 2\sqrt[3]{11} $$

Answer:

\(2\sqrt[3]{11}\)