Pregunta
What is the following quotient? \( \frac{\sqrt{120}}{\sqrt{30}} \)
Ask by Higgins Ramirez. in the United States
Mar 11,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The quotient is 2.
Solución
1. Rewrite the quotient as a single square root:
\[
\frac{\sqrt{120}}{\sqrt{30}} = \sqrt{\frac{120}{30}}
\]
2. Simplify the fraction inside the square root:
\[
\frac{120}{30} = 4
\]
So we have:
\[
\sqrt{\frac{120}{30}} = \sqrt{4}
\]
3. Evaluate the square root:
\[
\sqrt{4} = 2
\]
Thus, the quotient is \(2\).
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Simplifique esta solución Mind Expander
To simplify the quotient \( \frac{\sqrt{120}}{\sqrt{30}} \), you can use the property of square roots that states \( \frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}} \). So, we have: \[ \frac{\sqrt{120}}{\sqrt{30}} = \sqrt{\frac{120}{30}} \] Calculating the fraction: \[ \frac{120}{30} = 4 \] Now we can take the square root: \[ \sqrt{4} = 2 \] Thus, the final answer is: \[ \frac{\sqrt{120}}{\sqrt{30}} = 2 \]
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