Question

Hi if you can answer this i'll mark u brainllest
Approximate √31 with a decimal to the nearest hundredth. How does the square of that approximate compare to 31?

Answer 1

31 is between the square numbers 25 and 36, whose respective square-roots are 5 and 6.  Lets take the median of 25 and 36 to see how far in the middle 31 is.

(25 + 36) / 2 = 61 / 2 = 30.5

This is close to 31.

Take the median of the square-roots.

(5 + 6) / 2 = 11 / 2 = 5.5   This is the median square-root.

Square-root of 31 is between 5.5 and 6.

√31 = 5.55