Question
Multiply. \[ \sqrt{7} \cdot \sqrt{2} \]
Ask by Powell Hamilton. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
\sqrt{14}
\]
Solution
To multiply \(\sqrt{7}\) and \(\sqrt{2}\), you can use the property of square roots that states:
\[
\sqrt{a} \cdot \sqrt{b} = \sqrt{a \times b}
\]
Applying this property:
\[
\sqrt{7} \cdot \sqrt{2} = \sqrt{7 \times 2} = \sqrt{14}
\]
**Answer:**
\[
\sqrt{14}
\]
Reviewed and approved by the UpStudy tutoring team
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Mind Expander
When you multiply two square roots, you can combine them into one square root. So, \(\sqrt{7} \cdot \sqrt{2}\) becomes \(\sqrt{7 \cdot 2}\). Now, calculate \(7 \cdot 2\) to get \(14\). Thus, the result is: \[ \sqrt{14} \]