Rationalization and Conjugates Quiz

What is the primary goal of rationalizing a denominator?

• To simplify the numerator

• To eliminate the radical from the denominator

• To make the numerator a whole number

• To convert the fraction into a decimal

When rationalizing the fraction 2/√3, what is the multiplier used?

• 3/3

• √3/√3

• 2/2

• 1/√3

Why is it acceptable to have a radical in the numerator but not in the denominator?

• Denominators must be whole numbers

• It is a mathematical convention

• Radicals in numerators are easier to calculate

• Numerators are always simplified

What is the conjugate of the binomial 2 + √2?

• 2 - √3

• 2 - √2

• 2 + √3

• 2 + 2

In the expression (2 + √2)(2 - √2), what pattern is used to simplify it?

• Quadratic formula

• Perfect square trinomial

• Difference of squares

• Sum of cubes

What is the result of rationalizing the fraction 10√2/√5?

• √10

• 5√10

• 2√10

• 10√5

What is the conjugate of 2 - √7?

• 2 - √6

• 2 + √6

• 2 + √7

• 2 - √8

In the expression (1 + √7)(2 + √7), what is the result of the inner terms?

• √7

• 4√7

• 3√7

• 2√7

What is the simplified form of 9 + 3√7 divided by -3?

• 3 + √7

• 3 - √7

• -3 + √7

• -3 - √7

What property allows the elimination of a radical when it is squared?

• Associative property

• Distributive property

• Radical property

• Exponential property