Paul Kelley
04/16/2023 · Elementary School
\( \sqrt{21}=\square \quad \) b. \( -\sqrt{8}=\square \)
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Step-by-step Solution
To express the square roots in a more simplified form:
1. For \( \sqrt{21} \), it is already in its simplest form since 21 does not have any perfect square factors. Therefore, we can write:
\[
\sqrt{21} = \sqrt{21}
\]
2. For \( -\sqrt{8} \), we can simplify \( \sqrt{8} \) first. We know that:
\[
\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \cdot \sqrt{2} = 2\sqrt{2}
\]
Thus, we have:
\[
-\sqrt{8} = -2\sqrt{2}
\]
Putting it all together, we have:
- \( \sqrt{21} = \sqrt{21} \)
- \( -\sqrt{8} = -2\sqrt{2} \)
So, the answers are:
1. \( \sqrt{21} = \sqrt{21} \)
2. \( -\sqrt{8} = -2\sqrt{2} \)
Quick Answer
1. \( \sqrt{21} = \sqrt{21} \)
2. \( -\sqrt{8} = -2\sqrt{2} \)
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