Question

A student was asked to find V961. He read it wrong and found V691 to the nearest integer. How much small was his number from the correct answer?

Answer 1

√961 = 31 is the correct answer 31

26² = 676 < 691 <729 =27² 

691 – 676 = 15 and 729 – 691 =38 

√691 is nearer to 26 

The student √691 = 26 found. 

The correct answer is 31. 

∴ The difference is 31 – 26 = 5 

The number is smaller than the correct answer by 5.