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1 : Is the following radical a Type 1 or Type 2 Radical?
Type 1 (aka only one term within the radical) Type 2 (aka more than one term within the radical)
1.1 : Can you simplify this radical as it is currently written?
Only if the numbers happen to be perfect squares Potentially; depending on the values, since it is a Type 2 it is at least possible to simplify. Not as it is written. Type 2 radicals cannot be simplified without manipulating them first into Type 1 radicals. No, there is never anything we can do to simplify Type 2 radicals.
2 : Is the following radical a Type 1 or Type 2 Radical?
Type 1 (aka only one term within the radical) Type 2 (aka more than one term within the radical)
2.1 : Can you simplify this radical as it is currently written?
Only if the numbers happen to be perfect squares Potentially; depending on the values, since it is a Type 1 it is at least possible to simplify. Not as it is written. Type 1 radicals cannot be simplified without manipulating them first into Type 2 radicals. No, there is never anything we can do to simplify Type 1 radicals.
3 : Is the following radical a Type 1 or Type 2 Radical?
Type 1 (aka only one term within the radical) Type 2 (aka more than one term within the radical)
3.1 : Can you simplify this radical as it is currently written?
Only if the numbers happen to be perfect squares Potentially; depending on the values, since it is a Type 2 it is at least possible to simplify. Not as it is written. Type 2 radicals cannot be simplified without manipulating them first into Type 1 radicals. No, there is never anything we can do to simplify Type 2 radicals.
4 : Is the following radical a Type 1 or Type 2 Radical?
Type 1 (aka only one term within the radical) Type 2 (aka more than one term within the radical)
4.1 : Can you simplify this radical as it is currently written?
Only if the numbers happen to be perfect squares Potentially; depending on the values, since it is a Type 1 it is at least possible to simplify. Not as it is written. Type 1 radicals cannot be simplified without manipulating them first into Type 2 radicals. No, there is never anything we can do to simplify Type 1 radicals.