Simplify: .

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- Dec 27th 2006, 07:43 AMSorobanQuickie #3
Simplify: .

- Dec 27th 2006, 11:38 AMgalactus
- Dec 27th 2006, 11:41 AMearboth
Hello Soroban,,

I really don't know why you call this problem a "Quickie" (I still have a crack in my head!)

It took some time until I remembered the property:

If x > y > 0 then

or

With these properties your term becomes:

=

Expand the brackets and collect the roots with the same value. I've got:

Hapoooh!

EB - Dec 27th 2006, 12:46 PMSoroban
Lovely work, Galactus and EB!

Don't know if the "Quickie" solution is any faster . . .

We have: .

Multiply top and bottom by

. .

. .

. .

. .

. .

. .