use a number line to plot the whole number and rational number of the square root of 12
To plot the whole number and rational number of the square root of 12 on a number line, we need to find approximate values for these numbers.
First, let's find the approximate value for the whole number square root of 12. Since the whole number square root of 12 is an integer, we can see that it is between 3 and 4, as 3^2 = 9 and 4^2 = 16. Therefore, the whole number square root of 12 is 3.
Next, let's find the approximate value for the rational number square root of 12. To do this, we can convert the square root into a decimal. Using a calculator, we find that the square root of 12 is approximately 3.4641.
Now, let's plot these numbers on a number line.
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0-----------------------------------1------------------------------------ 2------------------------------------ 3 ------------------------------------- 4
| | | | | |
√12 (3.4641) | | | | |
√12 (3) | | | | |
On the number line, we have plotted the whole number square root of 12 (3) and the rational number square root of 12 (approximately 3.4641).