Question:

Simplify pLease!!!!?

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-2 √5

------------

3√2 - √5

or

-2 √5 / 3√2 - √5

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  1. Multiply top and bottom by 3 sqrt(2) + sqrt(5).

    That gives:

    - 2 sqrt(5)[ 3 sqrt(2) + sqrt(5) ] / [ { 3 sqrt(2) }^2 - { sqt(5) }^2 ]

    = - 2[ 3 sqrt(10) + 5 ] / (18 - 5)

    = - 2[ 3 sqrt(10) + 5 ] / 13.

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