Flashcards in Simplest Form Radicals Deck (6)

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1

What are radicals, roots, and surds?

They're basically all the same thing. The difference between them is not important.

They are numbers that have this symbol:

2

What does "simplest form" mean for square roots?

It means you have to factorise the number and try to extract as many "perfect" squares as you can.

- Factorise the number to primes and factor out as many squares from variables as you can.
- Extract the perfect squares
- Multiply out the stuff outside the root and the stuff inside the root (separately).

For example:

3

Write the following in simplest form:

###
- Factorise the number to primes and factor out as many squares from variables as you can.
- Extract the perfect squares
- Multiply out the stuff outside the root and the stuff inside the root (separately).

4

Write the following in simplest form:

###
- Factorise the number to primes and factor out as many squares from variables as you can.
- Extract the perfect squares
- Multiply out the stuff outside the root and the stuff inside the root (separately).

5

What does "simplest form" mean for cubed roots?

It means you have to factorise the number and try to extract as many "perfect" cubes as you can.

- Factorise the number to primes and factor out as many cubes from variables as you can.
- Extract the perfect cubes.
- Multiply out the stuff outside the root and the stuff inside the root (separately).

For example:

6

Write the following in simplest form:

- Factorise the number to primes and factor out as many cubes from variables as you can.
- Extract the perfect cubes.
- Multiply out the stuff outside the root and the stuff inside the root (separately).