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Math Solver

Theory

$n$ th root of a product

The

n

th root of a product can be rewritten by taking the

n

th root of each factor.

3 8 \cdot 27 = 38 \cdot 327

This rule yields for all real numbers. However, in order to avoid non-real solutions it is necessary that both factors are non-negative numbers when

n

is an even number.

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