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go step by step to reduce the radical. $sqrt{80}$ $sqrt{16} cdot sqrt{5…

Question

go step by step to reduce the radical. $sqrt{80}$ $sqrt{16} cdot sqrt{5}$ $squaresqrt{square}$ try

Explanation:

Step1: Factor 80 into square factor

$\sqrt{80} = \sqrt{16 \cdot 5}$

Step2: Split radical using product rule

$\sqrt{16 \cdot 5} = \sqrt{16} \cdot \sqrt{5}$

Step3: Simplify $\sqrt{16}$

$\sqrt{16} = 4$, so $4 \cdot \sqrt{5}$

Answer:

$4\sqrt{5}$