Question

Estimate the value of yhe following square riots to the nearest whole number square root of 440

Answer 1

The value of the square roots to the nearest whole number square root of 440 is 21.

To estimate the value to the nearest whole number of the square root of 440, we can do it by observing the perfect squares of the numbers nearest to 440.

400 is a perfect square and its square root is 20.

441 is a perfect square and it square root is 21.

We can conclude that the square root of 440 is very close to 21 but not 21, lesser than 21.

It could be around 20.9

As the decimal part is more than 5, we increase the integer part by 1.

So, it becomes 21.

If we find out the square root of 440, it is 20.976.

So, our assumption was right.

By this way we can guess the sqaure root of a number.