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21 votes
21 votes
Write √32 in simplest radical form4√22√42√168√2

User Janne Karila
by
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1 Answer

16 votes
16 votes

Answer:

4√2

Step-by-step explanation:

To write √32 in its simplest radical form​:

Express it as a product of two factors where one is a perfect square.


\sqrt[]{32}=\sqrt[]{16*2}

Next, we can separate the product of radicals as follows:


\begin{gathered} =\sqrt[]{16}*\sqrt[]{2} \\ =4*\sqrt[]{2} \\ =4\sqrt[]{2} \end{gathered}

The simplest radical form is 4√2.