Question

Match the given problem to the corresponding simplified radical.(3 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. 32−−√

Answer 1

To match the given problem to the corresponding simplified radical \( \sqrt{32} \):

1. First, simplify \( \sqrt{32} \).
2. Break down 32 into its prime factors: \( 32 = 16 \times 2 = 4^2 \times 2 \).
3. The square root of 32 can be expressed as \( \sqrt{16 \times 2} = \sqrt{16} \times \sqrt{2} = 4\sqrt{2} \).

So, the corresponding simplified radical for \( \sqrt{32} \) is \( 4\sqrt{2} \).