How do you simplify 3√(y2−1)?

1 Answer
George C.
Nov 5, 2015

This expression has no simpler form, but you can factor it:

3√y2−1=3√y−13√y+1

Explanation:

The radicand y2−1 has no cubic factors, so there are no factors you can move out from under the cube root.

One thing you can do is separate the factors of y2−1, since 3√ab=3√a3√b ...

3√y2−1=3√(y−1)(y+1)=3√y−13√y+1

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