Question 1173909
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Hi,
Know it is difficult to get symbols to make the trip:
((24/125)(3/24)(3/125)(5/5))^1/2  that works 

{{{sqrt((cross(24)/125) (3/cross(24)) (3/125) (cross(5)/cross(5))) = 3/125}}} 
 3/125 is the simplification (no radical sign in the denominator)
{{{sqrt((2/3)(2/3) (cross(3)/cross(3))) = sqrt(4/9) = 2/3}}}
2/3 the simplification (again , no radical sign present in the denominator)
Wish You the Best in your Studies.