2.4
The positive root of 6 to the nearest tenths is approximately 2.4.
Here's how you can estimate it step-by-step:
1. Start by finding the perfect squares that are closest to 6. The perfect squares near 6 are 4 (2 squared) and 9 (3 squared).
2. Since 6 is between 4 and 9, you know that the positive root of 6 will be between 2 and 3.
3. Divide the range between 2 and 3 into tenths. So, you have 2.0, 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, and 2.9.
4. To estimate the positive root of 6, consider the midpoint of the range between 2.3 and 2.4, which is 2.35.
Since 6 is closer to 2.4 than 2.3, you can estimate the positive root of 6 to be around 2.4.