3
QuizMultiple Choice

Dividing Radicals — Quiz

Question 3 • College Readiness Mathematics

To rationalize the denominator of the fraction with numerator 2 square root of 10 and denominator 3 square root of 11 , you should multiply the expression by which fraction?

Answer
A
the fraction with numerator 3 minus square root of 11 and denominator 3 minus square root of 11
B
the fraction with numerator 2 minus square root of 10 and denominator 2 minus square root of 10
C
the fraction with numerator square root of 11 and denominator square root of 11
D
the fraction with numerator square root of 10 and denominator square root of 10

Explanation

To rationalize the denominator, multiply by a fraction equal to 1 that makes the denominator an integer. The denominator is 3√11, so multiply the numerator and denominator by √11/√11. Then the denominator becomes 3√11 × √11 = 33. The correct choice is the fraction with √11 in both numerator and denominator.

AI-written and checked against the verified answer.

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