Question

how to calculate
$\sqrt{0.054}$
square root by log table​

Answer 1

Take the number you want and find its log.

Multiply the value of the log by 0.5( halve it)

Take the antilog of the value so obtained.

Justification: Let x be the number whose square root is desired.

Then,

x−−√=x12

Taking logs,

log(x−−√)=log(x12)

Using, logan=nloga,

log(x−−√)=12logx

Therefore,

x−−√=antilog(0.5logx)