Question

The square root of 52 is between which two consecutive intergers?

a) 26 and 27
b) 7 and 8
c) 25 and 26
d) 8 and 9​

Answer 1

Answer: 7 and 8

Explanation:

The square root of 7 is 49 and the square root of 8 is 64

52 is in between the 2 consecutive integers 7 and 8

Answer 2

Answer: b) 7 and 8

Explanation:

The formula for calculating the square root of non perfect square is given as :

square root of non perfect square = square root of the nearest lower perfect square + (difference between the number and the perfect square)/ 2x the perfect square.

To find the square root of 52.

The nearest lower perfect square to 52 is 49 , applying the formula , we have:

`√(52)` =
`√(49)` -
`(52-49)/(2√(49))`

`√(52)` = 7 +
`(3)/(2(7))`

`√(52)` = 7 +
`(3)/(14)`

This shows clearly that
`√(52)` is between the integer 7 and 8