Using a number line, what is the approximate value of square root 19
Using a number line, the approximate value of the square root of 19 can be estimated by finding the two integers between which 19 lies.
By observation, it is known that the integers 4 and 5 are the two consecutive perfect squares that bound 19: 4^2 = 16 and 5^2 = 25.
Since 19 is closer to 16 than it is to 25, the approximate value of the square root of 19 would lie between 4 and 5.
To approximate the value of square root 19 using a number line, follow these steps:
Step 1: Draw a number line and mark the square roots of perfect squares.
- Between 1 and 4, mark the square root of 1 as 1 and the square root of 4 as 2.
- Between 4 and 9, mark the square root of 4 as 2 and the square root of 9 as 3.
Step 2: Locate 19 on the number line between 16 and 25.
Step 3: Estimate the position of the square root of 19 relative to the numbers you marked.
It should be between 4 and 5, closer to 4.
Therefore, the approximate value of square root 19 is √19 ≈ 4.