Using a number line, what is the approximate value of square root 19

Answer 1

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.