SOLUTION: 1/(sqrt(x-4)+sqrt(x-3))
please simplify
i believe that i have to multiply the top and bottom by the denominator over itself to get rid of the square roots but i am not sure
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Question 779886: 1/(sqrt(x-4)+sqrt(x-3))
please simplify
i believe that i have to multiply the top and bottom by the denominator over itself to get rid of the square roots but i am not sure and kind of lost
-Thanks for the help
sincerely,
Rob
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1/(sqrt(x-4)+sqrt(x-3))
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Multiply numerator and denominator by sqrt(x-4)-sqrt(x-3)
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= [sqrt(x-4)-sqrt(x-3)]/[sqrt(x-4)+sqrt(x-3)]
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= [sqrt(x-4)-sqrt(x-3)]/[(x-4)-(x-3)]
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= [sqrt(x-4)-sqrt(x-3)]/(-1)
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= sqrt(x-3)-sqrt(x-4)
========================
Cheers,
Stan H.
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