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Rationalize the denominator of 1/(3*sqrt(2) + sqrt(5)) and choose the simplified form.

1. (3*sqrt(2) - sqrt(5))/13
2. (3*sqrt(2) + sqrt(5))/13
3. (3*sqrt(2) - sqrt(5))/7
4. (sqrt(2) - sqrt(5))/13

Correct answer: (3*sqrt(2) - sqrt(5))/13

Solution

Multiplying top and bottom by the conjugate removes the radicals from the denominator using the difference-of-squares identity.

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