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Coolmath Prealgebra
Radicals lesson 1 - A Review of Radicals   (page 4 of 5)
page 1
---- This prealgebra lesson reviews radicals and how they work.

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What about sqrt(-49)?

Can we find a number that goes in this?

(  )^2 = (  )(  ) = -49

Since these are the same number, we'd either have

( - )( - ) = +  or  ( + )( + ) = +

(  )^2 = -49
That's why a square can't be negative!

In fact, this goes for ALL even roots.

4th root of -16     Can't do!

Since no number works in

(  )^4 = -16

There'd be an even number of the guy multiplied together:

(  )(  )(  )(  ) = -16 ... ( - )( - )( - )( - ) = +   or  ( + )( + )( + )( + ) = +
                                                            This negative can't happen!

Continued on the next page

 

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