represent root5 and -root5 on number line
well, √5 ≈ 2.236
I assume you can mark that on the number line. . .
Jhghhh
To represent √5 and -√5 on a number line, you first need to determine the approximate location of these two square roots.
√5 is a non-perfect square, meaning its value falls between two whole numbers. Without using a calculator, we can estimate that √5 is between 2 and 3.
Similarly, -√5 is the negative counterpart of √5, which means it will be located to the left of 0, in the negative direction.
Now, let's represent these square roots on a number line:
1. Draw a horizontal line representing the number line. Label the points with whole numbers, starting from an appropriate negative value to account for -√5.
-3 -2 -1 0 1 2 3
|------|------|------|------|------|
2. Next, locate -√5 on the number line. Since we estimated √5 to be between 2 and 3, -√5 will be between -2 and -3. You can place a dot on the number line to represent -√5.
-3 -2 -1 0 1 2 3
|------|------|------|------|------|
○
3. Now, find the position of √5. We estimated it to be between 2 and 3, so you can place a dot on the number line to represent √5.
-3 -2 -1 0 1 2 3
|------|------|------|------|------|
○ ●
Here, the dot (●) represents √5, and the dot (○) represents -√5. That's how you can represent these square roots on a number line.