Question
Multiply. Write your answer in simplest form. \( \sqrt{5} \cdot \sqrt{2} \)
Ask by Martin Valdez. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(\sqrt{10}\)
Solution
To multiply \(\sqrt{5}\) and \(\sqrt{2}\) and express the result in its simplest form, follow these steps:
\[
\sqrt{5} \cdot \sqrt{2} = \sqrt{5 \times 2} = \sqrt{10}
\]
**Answer:** \(\sqrt{10}\)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
When you multiply square roots, you can combine them under one square root. So, \( \sqrt{5} \cdot \sqrt{2} = \sqrt{5 \cdot 2} = \sqrt{10} \). This is already in its simplest form since 10 has no perfect square factors other than 1. Plus, did you know that square roots have their roots (pun intended!) in ancient mathematics? The Babylonians were one of the first to discover methods for approximating square roots, and their techniques were astonishingly accurate!
