Pregunta
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\[
\sqrt{\frac{64}{25}} = \frac{8}{5}
\]
Solución
To simplify the expression:
\[
\sqrt{\frac{64}{25}}
\]
**Step 1:** Use the property of square roots that allows you to separate the numerator and the denominator:
\[
\sqrt{\frac{64}{25}} = \frac{\sqrt{64}}{\sqrt{25}}
\]
**Step 2:** Calculate the square roots of the numerator and the denominator:
\[
\sqrt{64} = 8 \quad \text{and} \quad \sqrt{25} = 5
\]
**Step 3:** Substitute these values back into the fraction:
\[
\frac{\sqrt{64}}{\sqrt{25}} = \frac{8}{5}
\]
**Final Answer:**
\[
\sqrt{\frac{64}{25}} = \frac{8}{5}
\]
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución Mind Expander
To simplify \( \sqrt{\frac{64}{25}} \), we can separate the square root into the numerator and denominator: \[ \sqrt{\frac{64}{25}} = \frac{\sqrt{64}}{\sqrt{25}} \] Now, calculate \( \sqrt{64} \) and \( \sqrt{25} \): \[ \sqrt{64} = 8 \quad \text{and} \quad \sqrt{25} = 5 \] Putting it back together gives us: \[ \frac{8}{5} \] Thus, the simplified form is: \[ \frac{8}{5} \]
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