Calculate sqrt(7225) without using a calculator.

sqrt(7225)

first ley us try
and factor:

We notice that 7225 is dividable by
5:

==> 7225 =
5*1445

Also 1445 is divisable by
5:

==> 7225 =
5*5*289

Now we know that 289 =
17*17

==> 7225 =
5*5*17*17

==> sqrt7225 =
sqrt(5*5*17*17)

                      = 5*17 =
85

==> sqrt(2775) = 85