Using a number line, what is the approximate value of 39−−√?
The approximate value of the square root of 39 is approximately 6.24.
To approximate the value of 39 minus the square root of 2, let's start by finding an approximate value for the square root of 2.
On a number line, we can locate the square root of 2 between 1 and 2 since 1 is the square root of 1 (1^2 = 1) and 4 is the square root of 16 (4^2 = 16). The square root of 2 is approximately halfway between 1 and 2.
So, let's say the approximate value of the square root of 2 is 1.5.
Now we can subtract this approximate value from 39:
39 - 1.5 ≈ 37.5
Therefore, the approximate value of 39 minus the square root of 2 is 37.5.