# How do you find the square root of 16562?

##### 3 Answers

#### Explanation:

The ancient greeks used to compute square roots by sucessive approximations.

Given a number

So they were searching for an approximation variation

solving for

once corrected

and then follow with

Let us apply that process for calculation of square root of

our initial guess will be

so

calculating

In the third iteration we get

#### Explanation:

To find square root of

From divisibility rules, it is apparent that it is divisible by

Hence,

=

#### Explanation:

If you are not sure of the numbers build a factor tree to find the squared prime numbers.

Thus