Question

Find the square root of $625$ using repeated subtraction.

Answer 1

We need to find square root of $625$ by repeated subtraction method.

$625-1=624$

$624-3=621$

$621-5=616$

$616-7=609$

$609-9=600$

$600-11=589$

$589-13=576$

$576-15=561$

$561-17=544$

$544-19=525$

$525-21=504$

$504-23=481$

$481-25=456$

$456-27=429$

$429-29=400$

$400-31=369$

$369-33=336$

$336-35=301$

$301-37=264$

$264-39=225$

$225-41=184$

$184-43=141$

$141-45=96$

$96-47=49$

$49-49=0$

At last the answer comes out to be $0$.

Here number of steps to find this is $25$.

Thus square root of $635$ is $25$.