Question

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

Answer 1

Answer: b) 7 and 8

Step-by-step 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:

$\sqrt{52}$ = $\sqrt{49}$ - $\frac{52-49}{2\sqrt{49}}$

$\sqrt{52}$ = 7 + $\frac{3}{2(7)}$

$\sqrt{52}$ = 7 + $\frac{3}{14}$

This shows clearly that $\sqrt{52}$ is between the integer 7 and 8

Answer 2

Answer: 7 and 8

Step-by-step 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