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

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asked Jul 28, 2017 16.0k views

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Robino · Answer 1 · 2017-08-02T01:36:02+0000

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.

√(1681) = 1681^(1/2) = (41^2)^(1/2)= 41^1 = 41

√(1681) = 1681^(1/2) = (41^2)^(1/2)= 41^1 = 41

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

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