Using square root table, find the square roots of the following : (i) `(99)/(144)` (ii) `(57)/(100)`

Explanation

(i) `(99)/(144)`
`=sqrt(99/144)`
`=sqrt((3times3times11)/(12times12))`
`=(3timessqrt11)/12`
By using square root table: `sqrt11=3.317`
`=(3times3.317)/12`
`=3.317/4`
`=0.829`
(ii) `(57)/(100)`
`=sqrt(57/100)`
`=sqrt((19times3)/(10times10))`
`=(sqrt19timessqrt3)/10`
By using square root table: `sqrt4=1.732` and `sqrt19=4.359`
`=(4.359times1.732)/10`
`=7.548/10`
`=0.7548`