JAPAN || No Calculator Allowed || 99% of Students Failed This Tricky Math Test ||

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[@RyanLewis-Johnson-wq6xs]

(1/5)^(1/5)=0.2Surd[625,5]=Surd[625,5]/5

[@Cynicalgeek743]

Please explain how the final answer is anymore simplified than the starting equation.

[@kamen42]

What I understood over the years, mathematicians don't like roots in the denominator. I never found out why.

[@arnothar8035]

@@kamen42 It has many reasons, here are some:
1) calculating a value with a root in the denominator is much harder to do without a calculator (historical reason)
2) having a root in the denominator adds the risk of dividing by zero (if the value under the root contains a variable)
3) having as root in the denominator leads to more rounding issues, because the root's value itself is already rounded in a calculator. if you then divide 1 by that already rounded value, the result is even more rounded.

[@dmitri7586]

1/5 : 1/5 =1
1: 1/5 =5
5 : 1/5 =25
25 : 1/5 =125
125 : 1/5 =625
no calculators, roots or anything else needed

[@arnothar8035]

Having the root only in the denominator is an awful simplification. I would write it as fifth root of 0.2. This expression then only has one operation, where your simplification still has two operations.

[@RealQinnMalloryu4]

{5+1}=6 3^2 (an ➖ 3an+2).