What is the following quotient? the fraction with numerator 5 and denominator square root of 11 minus square root of 3

Multiply the numerator and denominator by the conjugate, √11 + √3, to remove the radicals from the denominator. The denominator becomes (√11)² − (√3)² = 11 − 3 = 8, so the quotient is (5√11 + 5√3)/8. This is choice A.

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