Questions: Simplify. √32

Solution Steps

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.

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