Scelta multipla
Simplify the following.
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11. Roots, Radicals, and Complex Numbers
Simplifying Radical Expressions
Scelta multipla
Use the product rule to multiply the following.
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Guida verificata passo dopo passo1
Identify the expression to multiply: \(\sqrt[4]{7m^{2}} \cdot \sqrt[4]{2n}\).
Recall the product rule for radicals with the same index: \(\sqrt[n]{a} \cdot \sqrt[n]{b} = \sqrt[n]{a \cdot b}\).
Apply the product rule by multiplying the radicands (the expressions inside the roots): \(7m^{2} \times 2n = 14m^{2}n\).
Rewrite the product under a single fourth root: \(\sqrt[4]{14m^{2}n}\).
This expression represents the simplified product of the original radicals using the product rule.
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