Using square root table, find the square roots of the following : 110               (ii) 1110                  11.11

Explanation

(i) `110`
`=sqrt110`
`=sqrt(2times5times11)`
`=sqrt2timessqrt5timessqrt11`
By using square root table: `sqrt2=1.414` `sqrt5=2.236`and `sqrt11=3.316`
`=1.414times2.236times3.316`
`=10.484`
(ii) `1110`
`=sqrt1110`
`=sqrt(2times3times5times37)`
`=sqrt2timessqrt3timessqrt5timessqrt37`
By using square root table: `sqrt2=1.414` `sqrt3=1.732` `sqrt5=2.236` and `sqrt37=6.082`
`=1.414times1.732times6.082times3.316`
`=33.31`
(iii) `11.11`
`=sqrt11.11`
`=sqrt1111/100`
`=sqrt((11times101)/(10times10))`
`=(sqrt11timessqrt101)/10`
By using square root table: `sqrt11=3.316` and `sqrt101=10.049`
`=(3.316times10.049)/10`
`=33.325/10`
`=3.3325`