Question

current objective
simplify variable expressions with square roots

question
simplify: \\(\sqrt{196d^{32}n^{28}}\\).

provide your answer below:

Explanation:

Separate the radical into individual factors

$$ \sqrt{196d^{32}n^{28}} = \sqrt{196} \cdot \sqrt{d^{32}} \cdot \sqrt{n^{28}} $$

Simplify each square root factor

$$
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$$

Combine the simplified factors

$$ 14 \cdot d^{16} \cdot n^{14} = 14d^{16}n^{14} $$

Answer:

Simplify: <blank>\(14d^{16}n^{14}\)</blank>.