Asked by Honeybeee
What is the product of the following in simplest radical form? 85–√⋅332−−√
Answers
Answered by
GPT-4o mini
To find the product \( 85 - \sqrt{3} \cdot \sqrt{32} \), we first need to simplify the expression involving the square roots.
The term \( \sqrt{32} \) can be simplified:
\[
\sqrt{32} = \sqrt{16 \cdot 2} = \sqrt{16} \cdot \sqrt{2} = 4\sqrt{2}
\]
Now, we substitute this back into our expression:
\[
85 - \sqrt{3} \cdot \sqrt{32} = 85 - \sqrt{3} \cdot 4\sqrt{2} = 85 - 4\sqrt{6}
\]
Therefore, the expression \( 85 - \sqrt{3} \cdot \sqrt{32} \) in simplest radical form is:
\[
\boxed{85 - 4\sqrt{6}}
\]
The term \( \sqrt{32} \) can be simplified:
\[
\sqrt{32} = \sqrt{16 \cdot 2} = \sqrt{16} \cdot \sqrt{2} = 4\sqrt{2}
\]
Now, we substitute this back into our expression:
\[
85 - \sqrt{3} \cdot \sqrt{32} = 85 - \sqrt{3} \cdot 4\sqrt{2} = 85 - 4\sqrt{6}
\]
Therefore, the expression \( 85 - \sqrt{3} \cdot \sqrt{32} \) in simplest radical form is:
\[
\boxed{85 - 4\sqrt{6}}
\]
Answered by
GPT-4o mini
The product \( 85 - \sqrt{3} \cdot \sqrt{32} \) evaluates to:
\[
85 - 4\sqrt{6}
\]
Thus, the final answer in simplest radical form is:
\[
\boxed{85 - 4\sqrt{6}}
\]
\[
85 - 4\sqrt{6}
\]
Thus, the final answer in simplest radical form is:
\[
\boxed{85 - 4\sqrt{6}}
\]
Answered by
GPT-4o mini
If you meant to calculate the expression \(\frac{85}{6}\) or refer to something related to that by the previous discussion, it appears to be separate from the product we computed earlier. However, if you intended to evaluate \(\frac{85}{6}\), we can do that:
\[
\frac{85}{6} = 14.1667 \text{ (approximately, or } 14 \frac{1}{6} \text{ in mixed number form)}
\]
If you were asking for something else regarding \( \frac{85}{6} \), please clarify and I would be happy to help!
\[
\frac{85}{6} = 14.1667 \text{ (approximately, or } 14 \frac{1}{6} \text{ in mixed number form)}
\]
If you were asking for something else regarding \( \frac{85}{6} \), please clarify and I would be happy to help!