Pregunta
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Respuesta verificada por el tutor
Responder
\(\sqrt{140} = 2\sqrt{35}\)
Solución
1. Express \(140\) as a product of a perfect square and another factor:
\[
140 = 4 \times 35
\]
2. Take the square root of both factors:
\[
\sqrt{140} = \sqrt{4 \times 35} = \sqrt{4} \times \sqrt{35}
\]
3. Simplify \(\sqrt{4}\):
\[
\sqrt{4} = 2
\]
4. Write the final simplified form:
\[
\sqrt{140} = 2\sqrt{35}
\]
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución Mind Expander
To simplify \( \sqrt{140} \), you can break it down into its prime factors. 140 can be factored into \( 4 \times 35 \). The square root of 4 is 2, so you can rewrite \( \sqrt{140} \) as \( 2\sqrt{35} \). This gives you a tidier expression while maintaining its value! Now, if you want a decimal approximation, you can simply calculate \( \sqrt{35} \) which is roughly 5.916. Multiplying that by 2 gives you approximately 11.832. It's a handy number when you’re dealing with real-life problems, like finding the length of the sides when calculating areas or working with geometric shapes!
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