Between which 2 whole numbers does √71 lie on a number line?
√64 = 8
√71 = ?
√81 = 9
so what do you think?
To find between which two whole numbers √71 lies on a number line, we can calculate the square roots of the nearest perfect squares.
First, let's find the square root of the lower perfect square. The perfect square closest to 71 without exceeding it is 64, which is the square of 8. The square root of 64 is 8.
Next, let's find the square root of the higher perfect square. The perfect square closest to 71 without exceeding it is 81, which is the square of 9. The square root of 81 is 9.
Therefore, the square root of 71 (√71) lies between 8 and 9 on the number line. Thus, √71 is greater than 8 and less than 9.