Question
What is the following quotient? \( \frac{\sqrt{120}}{\sqrt{30}} \)
Ask by Higgins Ramirez. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The quotient is 2.
Solution
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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: \[ \frac{\sqrt{120}}{\sqrt{30}} = 2 \]
