Question

Given that the square root of 225 is 15 and the square root of 256 is 16, which number is closest to the square root of 240?

Responses

15.1
15.1

15.5
15.5

15.8
15.8

15.9
15.9

Answer 1

We can approach this problem by first finding the two perfect squares that 240 lies between:

15^2 = 225 and 16^2 = 256.

Since the square root of 240 must lie between the square root of 225 and 256, we can choose the number that is closest between 15 and 16.

To do this, we can calculate the distance between the square root of 240 and each of the two numbers:

The distance between 15 and the square root of 240 is |15 - sqrt(240)| = 1.18

The distance between 16 and the square root of 240 is |16 - sqrt(240)| = 0.34

Therefore, 16 is closest to the square root of 240.