Where is the Mistake in this Question!?

Not sure what you are trying to accomplish here..... final result is   - .00194344359   according to my calcs

If I calculate the top line     I get this answer      if I calculate your bottom line   I get the same anwer  

This is the bit that went wrong.

sqrt((3432*385)/(14875*60333)) = 0.038370552862457

sqrt((2^3*3*5*7*11^2*13)/(3*5^3*7^2*13^2*17^2)) = 0.038370552862457

$\sqrt{\frac{2^3*3*5*7*11^2*13}{3*5^3*7^2*13^2*17^2}}\\~\\ =\sqrt{\frac{2^3*11^2}{5^2*7*13*17^2}}\\~\\ =\frac{2*11}{5*17}\sqrt{\frac{2}{7*13}}\\~\\ =\frac{22}{85}\sqrt{\frac{2}{91}}\\~\\$

22/85*sqrt(2/91) = 0.038370552862457

LaTex

Sorry.....here is my correction: