Question
4.3 & Simplify. \( \frac{\sqrt[3]{1000}}{\sqrt{100}}+(4-1)^{2} \)
Ask by Knight Williams. in South Africa
Jan 19,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Simplify the expression to get \( \frac{10}{10} + 9 = 1 + 9 = 10 \).
Solution
Calculate or simplify the expression \( \frac{\sqrt[3]{1000}}{\sqrt{100}}+(4-1)^{2} \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{\sqrt[3]{1000}}{\sqrt{100}}+\left(4-1\right)^{2}\)
- step1: Subtract the numbers:
\(\frac{\sqrt[3]{1000}}{\sqrt{100}}+3^{2}\)
- step2: Simplify the root:
\(\frac{10}{\sqrt{100}}+3^{2}\)
- step3: Simplify the root:
\(\frac{10}{10}+3^{2}\)
- step4: Divide the terms:
\(1+3^{2}\)
- step5: Evaluate the power:
\(1+9\)
- step6: Add the numbers:
\(10\)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
The expression simplifies as follows: First, calculate \(\sqrt[3]{1000}\), which is \(10\), and \(\sqrt{100}\), which is \(10\) as well. Therefore, \(\frac{\sqrt[3]{1000}}{\sqrt{100}} = \frac{10}{10} = 1\). Next, evaluate \((4-1)^{2} = 3^{2} = 9\). So, adding these together gives \(1 + 9 = 10\). Finally, \(4.3\) is less than the answer derived, simplifying further is unnecessary here.
