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Multiplying (3)/(sqrt(17)−sqrt(2)) by which fraction will produce an equivalent fraction with a rational denominator?

A
the fraction with numerator square root of 2 minus square root of 17 and denominator square root of 2 minus square root of 17
B
the fraction with numerator square root of 15 and denominator square root of 15
C
the fraction with numerator square root of 17 minus square root of 2 and denominator square root of 17 minus square root of 2
D
the fraction with numerator square root of 17 plus square root of 2 and denominator square root of 17 plus square root of 2
3

To rationalize the denominator of the fraction with numerator 5 minus square root of 7 and denominator 9 minus square root of 14 , you should multiply the expression by which fraction?

A
the fraction with numerator square root of 14 and denominator square root of 14
B
the fraction with numerator 5 plus square root of 7 and denominator 9 minus square root of 14
C
the fraction with numerator 9 plus square root of 14 and denominator 9 plus square root of 14
D
the fraction with numerator 9 minus square root of 14 and denominator 9 minus square root of 14
4

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

A
the fraction with numerator 5 square root of 11 minus 5 square root of 3 and denominator 8
B
the fraction with numerator 5 square root of 2 and denominator 4
C
5 eighths
D
the fraction with numerator 5 square root of 11 plus 5 square root of 3 and denominator 8
6

What is the following quotient? the fraction with numerator 3 square root of 8 and denominator 4 square root of 6

A
the fraction with numerator 12 square root of 2 minus 6 square root of 3 and denominator 5
B
the fraction with numerator square root of 3 and denominator 2
C
the fraction with numerator square root of 3 and denominator 12
D
the fraction with numerator 3 square root of 6 minus 4 square root of 3 and denominator 24
7

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?

A
the fraction with numerator 2 minus square root of 10 and denominator 2 minus square root of 10
B
the fraction with numerator 3 minus square root of 11 and denominator 3 minus square root of 11
C
the fraction with numerator square root of 10 and denominator square root of 10
D
the fraction with numerator square root of 11 and denominator square root of 11
9

What is the following quotient? the fraction with numerator 2 and denominator square root of 13 plus square root of 11

A
the fraction with numerator square root of 13 plus square root of 11 and denominator 12
B
the fraction with numerator square root of 13 plus square root of 11 and denominator 6
C
square root of 13 minus square root of 11
D
square root of 13 minus 2 square root of 11
10

What is the following quotient? the fraction with numerator square root of 6 plus square root of 11 and denominator square root of 5 plus square root of 3

A
negative 5 halves
B
the fraction with numerator square root of 30 plus 3 square root of 2 plus square root of 55 plus square root of 33 and denominator 8
C
17 eighths
D
the fraction with numerator square root of 30 minus 3 square root of 2 plus square root of 55 minus square root of 33 and denominator 2

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