Question
2) \( \sqrt{8} \cdot \sqrt{2} \)
Ask by Hills Moreno. in South Africa
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( \sqrt{8} \cdot \sqrt{2} = 4 \)
Solution
To evaluate \( \sqrt{8} \cdot \sqrt{2} \), you can use the property of square roots that states:
\[
\sqrt{a} \cdot \sqrt{b} = \sqrt{a \times b}
\]
Applying this property:
\[
\sqrt{8} \cdot \sqrt{2} = \sqrt{8 \times 2} = \sqrt{16} = 4
\]
**Answer:** 4
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
Did you know that the expression \( \sqrt{8} \cdot \sqrt{2} \) can be simplified using the property of square roots that says \( \sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b} \)? So, \( \sqrt{8} \cdot \sqrt{2} \) can be rewritten as \( \sqrt{8 \cdot 2} = \sqrt{16} \), which equals 4. Now, if you're ever faced with a more complicated product involving square roots, remember to simplify each square root first wherever possible! This can save you from some common mistakes, like trying to multiply directly and missing out on easier simplifications. Keep an eye out for perfect squares!
