In scientific notation numbers are written in the form x xx10^n, where n is an integer and x is in limits [1,10) i.e. 1<=x<10.
Examples:-
53246.6 is written as 5.32466xx10^4
46870000 is written as 4.687xx10^7
0.0007925 is written as 7.925xx10^-4
0.0000213 is writen as 2.13xx10^-5
To extract square root of such numbers
(a) if n is even just take the square root of x and 10^n and multiply them; and
(b) if n is odd, mutiply x by 10 and reduce n by 1 to make it even and then take square root of each and multiply them.
Hence
sqrt(5.32466xx10^4)=sqrt5.32466xxsqrt(10^4)=2.3075xx10^2
sqrt(4.687xx10^7)=sqrt46.87xxsqrt(10^6)=6.846xx10^3
sqrt(7.925xx10^-4)=sqrt(7.925)xxsqrt(10^(-4))=2.815xx10^-2
sqrt(2.13xx10^-5)=sqrt21.3xxsqrt(10^(-6))=4.625xx10^-3
