Questions: Simplify. √32

Simplify. √32
Transcript text: Simplify. \[ \sqrt{32} \]
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Solution

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Solution Steps

Step 1: Factor the Number

To simplify \(\sqrt{32}\), we first factor 32 into a product of a perfect square and another number: \[ 32 = 16 \times 2 \] where 16 is a perfect square.

Step 2: Simplify the Square Root

Next, we take the square root of the perfect square (16) and multiply it by the square root of the remaining number (2): \[ \sqrt{32} = \sqrt{16 \times 2} = \sqrt{16} \times \sqrt{2} = 4 \times \sqrt{2} \]

Final Answer

\[ \boxed{4\sqrt{2}} \]

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