Using square root table, find the square roots of the following : 8700           (ii) 3509               (iii) 6929

Explanation

(i) `8700`
`=sqrt8700`
`=sqrt(2times2times3times5times5times29)`
`=2times5timessqrt3timessqrt29`
By using square root table: `sqrt3=1.732` and `sqrt29=5.3851`
`=10times1.732times5.3851`
`=93.26`
(ii) `3509`
`=sqrt3509`
`=sqrt(11times11times29)`
`=11timessqrt29`
By using square root table: `sqrt29=5.3851`
`=11times5.3851`
`=59.23`
(iii) `6929`
`=sqrt6929`
`=sqrt(13times13times41)`
`=13timessqrt41`
By using square root table: `sqrt41=6.4031`
`=13times6.4031`
`=83.24`