To find between which pair of rational numbers the square root of 38 lies, we need to find two numbers whose squares are on either side of 38 on the number line.
First, let's find the square root of the closest perfect squares to 38: 6 and 7.
The square of 6 is 6² = 36.
The square of 7 is 7² = 49.
Therefore, the square root of 38 lies between the numbers 6 and 7 on the number line.
Between which pair of rational number on a number line does sqrt(38) lie?
1 answer