plot 3 -√2 and 3^√2 on the decimal number line.

Question

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

3^√2 and 3 -√2

Answer 1

To plot -√2 on the decimal number line, we need to find the approximate value of -√2. This can be calculated as -1.414.

To plot 3^√2 on the decimal number line, we need to find the approximate value of 3^√2. This can be calculated as 3^1.414 ≈ 3^1.41 ≈ 3^1.42 ≈ 4.67.

Now, comparing -√2 (-1.414) and 3^√2 (4.67) on the decimal number line, we have:
-1.414 < 4.67

Therefore, we can say that 3^√2 (4.67) is greater than -√2 (-1.414).