Question

The square of a whole number is between 200 and 250. the number must be between

Answer 1

Explanation:

square of 15 = 225

The Number must be between 14 and 16

Answer 2

The number will lie between 14 and 16.

Explanation:

If the square of a whole number is between 200 and 250 then the inequality formed will be

200 < x² < 250

where x is a whole number.

Now we will simplify this inequality.

`√(200)<\sqrt{x^(2) } <√(250)`

14.14 < x < 15.81

By approximation, 14 < x < 16

Therefore, the number must lie between 14 and 16.