plot 3-√2 and \sqrt[3]{2} on the decimal number line.

Question

Based on your answer above, compare and using <, >, or =.

\sqrt[3]{2} and 3-√2

Answer 1

To plot 3-√2 and \sqrt[3]{2} on the decimal number line:

3-√2 is approximately 0.59
\sqrt[3]{2} is approximately 1.26

Comparing the two values:
3 - √2 < \sqrt[3]{2}

Therefore, 3-√2 is less than \sqrt[3]{2}.