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
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.
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