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cecerose cecerose
  • 06-07-2016
  • Mathematics
Answered

why do square roots have to be represented as fractional exponents?

Verified Answer :

ndsouza03 ndsouza03
  • 06-07-2016

Fractional exponents make square roots easier to simplify. For example, the square root of 1681 isn't obvious. But if you used fractional exponents and prime factorization, you would get 41.

\(\sqrt{1681} = 1681^{1/2} = (41^2)^{1/2}= 41^1 = 41\)

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