Question

Fill out the boxes to demonstrate your understanding of estimating a non perfect square? Estimate V388 to the nearest whole number?

1388
А
c
m-
Final Estimate

Answer 1

The final estimate of √388 is 20.

Explanation:

The number provided is:

x = 1388

Estimate the square root of 1388 as follows:

15² = 225

16² = 256

17² = 289

18² = 324

19² = 361

20² = 400

So, we now know that the square root of 388 lies between 19 and 20.

Check for 19.5²:

19.5² = 380.25

Check for 19.6²:

19.6² = 384.16

Check for 19.7²:

19.7² = 388.09 ≈ 388

The square root of 388 is closer to 19.7 or is approximately 20.

Thus, the final estimate of √388 is 20.