Questions: Simplify the following expression. √80

Simplify the following expression. √80
Transcript text: Simplify the following expression. \[ \sqrt{80} \]
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Solution

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Solution Steps

Step 1: Factorize the number under the square root

\[ \sqrt{80} = \sqrt{16 \times 5} \]

Step 2: Separate the square root into two parts

\[ \sqrt{16 \times 5} = \sqrt{16} \times \sqrt{5} \]

Step 3: Simplify the square root of 16

\[ \sqrt{16} = 4 \]

Step 4: Combine the results

\[ 4 \times \sqrt{5} = 4\sqrt{5} \]

Final Answer

\(\boxed{4\sqrt{5}}\)

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