^{n}√0 = 0.^{n}√1 = 1.^{n}√*a**b*=^{n}√*a*⋅^{n}√*b*.^{n}√*a*/*b*=^{n}√*a*÷^{n}√*b*.^{1}√*a*=*a*.^{n}√^{m}√*a*=^{mn}√*a*.^{n}√*a*^{n}= |*a*| if*n*is even;^{n}√*a*^{n}=*a*if*n*is odd.^{n}√*a*^{mn}= |*a*|^{m}if*n*is even;^{n}√*a*^{mn}=*a*^{m}if*n*is odd.^{(mn)}√*a*^{n}=^{m}√|*a*| if*n*is even;^{(mn)}√*a*^{n}=^{m}√*a*if*n*is odd.

Here are some examples of taking roots:

Or download the video:
WebM format,
Ogg Vorbis format,
MPEG-4 format.

Here are some trickier examples
that the textbook does using rational exponents,
but I'll do them directly using rules for roots:

Or download the video:
WebM format,
Ogg Vorbis format,
MPEG-4 format.

Go back to the course homepage.

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