Let’s assume, just for laughs, that you are in the middle of the woods with no Internet-capable device or calculator in sight. You only have a log table. You must find the square root of 123423, or that fierce tiger will eat you whole. I am going to teach you to get rid of this situation.
Here, I am using the logarithmic relation to find the square root of the number 123423.
- I am using the relation
log ((x)^1/2)=1/2 log x
- Now replace the value of “x” with “123423”.
log ((123423)^1/2) = 1/2 (log 123423)
=1/2(log 0.123423 *10^6)
=1/2(6+log 0.123423)
From the logbook, log 0.123423=-0.90863
so log ((123423)^1/2)=2.54685
Therefore (123423)^1/2= 10^2.54685 = 352.202491
Which is nearly equal to the actual value 351.316097, yeah?
You are safe now. 😉