Question
- square root 3 (-3square root 13 + square root 35)
Answers
GPT-4o mini
To simplify the expression \(-\sqrt{3}(-3\sqrt{13} + \sqrt{35})\), you can distribute \(-\sqrt{3}\) across the terms inside the parentheses.
Let's do that step by step:
1. Distribute \(-\sqrt{3}\):
\[
-\sqrt{3} \cdot (-3\sqrt{13}) + -\sqrt{3} \cdot (\sqrt{35})
\]
2. This gives:
\[
3\sqrt{39} - \sqrt{105}
\]
So, the simplified form of the expression \(-\sqrt{3}(-3\sqrt{13} + \sqrt{35})\) is:
\[
3\sqrt{39} - \sqrt{105}
\]
Let's do that step by step:
1. Distribute \(-\sqrt{3}\):
\[
-\sqrt{3} \cdot (-3\sqrt{13}) + -\sqrt{3} \cdot (\sqrt{35})
\]
2. This gives:
\[
3\sqrt{39} - \sqrt{105}
\]
So, the simplified form of the expression \(-\sqrt{3}(-3\sqrt{13} + \sqrt{35})\) is:
\[
3\sqrt{39} - \sqrt{105}
\]