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−−√ 75−−√ 27−−√

Answer 1

To match the given problems with their corresponding simplified radicals, let's simplify each radical:

1. √32:

   • √32 = √(16 * 2) = √16 * √2 = 4√2

2. √75:

   • √75 = √(25 * 3) = √25 * √3 = 5√3

3. √27:

   • √27 = √(9 * 3) = √9 * √3 = 3√3

So the simplified forms are:

• √32 simplifies to 4√2
• √75 simplifies to 5√3
• √27 simplifies to 3√3

If you need to input these into a system or match them, it would be like:

• √32 → 4√2
• √75 → 5√3
• √27 → 3√3

If this is related to a specific matching question format or system, please clarify how you expect them to be aligned.