Question

if square root of 8 is equal to 2.83 and square root of 11 is equal to 3.32 estimate the square root of 10 using linear interpolation.

Answer 1

since 10 is 2/3 of the way from 8 to 11, we want to go 2/3 of the way from √8 to √11.

that would be
2.83 + (10-8)/(11-8) * (3.32-2.83) ≈ 3.157

check: √10 = 3.162