Cummings Chavez
12/05/2023 · Elementary School
b) \( \sqrt[3]{95} \) must be between 4 and 5
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To determine whether \( \sqrt[3]{95} \) is between 4 and 5, we can compare the cubes of 4 and 5 to 95.
First, calculate \( 4^3 \) and \( 5^3 \):
\[
4^3 = 4 \times 4 \times 4 = 64
\]
\[
5^3 = 5 \times 5 \times 5 = 125
\]
Now, we can see that:
\[
64 < 95 < 125
\]
Since \( 64 < 95 < 125 \), it follows that:
\[
4 < \sqrt[3]{95} < 5
\]
Thus, \( \sqrt[3]{95} \) is indeed between 4 and 5.
Quick Answer
\( \sqrt[3]{95} \) is between 4 and 5.
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