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 √(2) and \sqrt[3]{2} on the decimal number line, we need to find their approximate decimal values.

√(2) ≈ 1.4142
\sqrt[3]{2} ≈ 1.2599

Now, comparing the two values:
1.4142 > 1.2599

Therefore, √(2) is greater than \sqrt[3]{2}.