Today's soundtrack is God is an Astronaut: Epitaph, an instrumental album that is beautifully atmospheric and so inspiring. It could be the soundtrack to a movie. It reminds me of a perfectly-executed fusion between Agalloch and Sigur Rós.
This afternoon, I'm learning about adding and subtracting radical expressions.
We can simplify radical expressions in the same way that we simplify polynomials. We consider expressions with the same radicand and same index to be alike.
- √3 and 5√3 can be simplified to 6√3 because they have the same radicand and same index.
If we are asked to simplify a group of radical expressions that have the same index but unlike radicands, we can look at converting from mixed to entire or vice versa so that we can simplify.
- ³√128x and ³√16x have unlike radicands; however, if we turn them into mixed radicals, we get 4³√2x and 2³√2x, which gives us 6³√2x.