How do you rationalize $(sqrt3-sqrt2)/ ( sqrt3+sqrt2)$ ?

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How do you rationalize $(sqrt3-sqrt2)/ ( sqrt3+sqrt2)$ ?

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Answer 1 · 2015-05-16T19:51:11

You can multiply and divide by: $sqrt(3)-sqrt(2)$ to get:
$(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2))*(sqrt(3)-sqrt(2))/(sqrt(3)-sqrt(2))=$
$=(sqrt(3)-sqrt(2))^2/(3-2)=3-2sqrt(6)+2=5-2sqrt(6)$

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How do you rationalize $(sqrt3-sqrt2)/ ( sqrt3+sqrt2)$ ?

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