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\( \sqrt{32} = 4\sqrt{2} \) or approximately 5.656854.
Solución
Calculate or simplify the expression \( \sqrt(32) \).
Calculate the value by following steps:
- step0: Calculate:
\(\sqrt{32}\)
- step1: Write as a product:
\(\sqrt{16\times 2}\)
- step2: Write in exponential form:
\(\sqrt{4^{2}\times 2}\)
- step3: Use the properties of radicals:
\(\sqrt{4^{2}}\times \sqrt{2}\)
- step4: Simplify the root:
\(4\sqrt{2}\)
The square root of 32 is \(4\sqrt{2}\) or approximately 5.656854.
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Simplifique esta solución Extra Insights
Did you know that the square root of 32 can be simplified? It breaks down into \( \sqrt{16 \times 2} \), leading to \( 4\sqrt{2} \). So, while \( \sqrt{32} \) is approximately 5.656, we can express it in a more compact form as \( 4\sqrt{2} \), which is neat! If you're ever confused with square roots, a common trick is to look for perfect squares within your number. For instance, breaking down 32 into 16 and 2 is key here. Just remember, when you simplify, always factor out the largest perfect square you can find to make things easier for yourself!
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