Simplify the expression please explain

Mathematics

1 answer:

gtnhenbr [62]3 years ago

4 0

To simplify √((2x)^2)√2y, we must multiply the indices of both roots and the coefficients that within both roots. As we can see bellow, we get a root which has index 4:

=((2x)^(2y))^1/4

Finally, the factor (2x)^2 has an exponent which is divisible by the index of the root, so it can be simplified, as it's shown in the following step:

= (2x)(2y)^1/4

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