Find the square roots of 121 and 169 by the method of repeated subtraction.

To do:

We have to find the square roots of 121 and 169 by the method of repeated subtraction.

Solution: 

$121-1=120$

$120-3=117$

$117-5=112$

$112-7=105$

$105-9=96$

$96-11=85$

$85-13=72$

$72-15=57$

$57-17=40$

$40-19=21$

$21-21=0$

Therefore, the square root of 121 is $11$.

$169-1=168$    

$168-3=165$  

$165-5=160$

$160-7=153$

$153-9=144$

$144-11=133$

$133-13=120$

$120-15=105$

$105-17=88$

$88-19=69$

$69-21=48$

$48-23=25$

$25-25=0$

Therefore, the square root of 169 is $13$.

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Updated on: 10-Oct-2022

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