10.5 Rationalizing Denominators and Numerators of Radical Expressions

Question 1

Define rationalizing the denominator

Answer 1

The process of writing an expression as an equivalent expression without the radical in the denominator

Question 2

How do you rationalize a denominator like

V35/√2?

Answer 2

You multiply it by the denominator/denominator (which equals one). In this case, it would be √2/√2.

Question 3

How do you rationalize a denominator that has two terms?

Answer 3

You multiply by the conjugate

Question 4

What is a conjugate? Example, (√3 -2)?

Answer 4

√3 + 2 would be the conjugate since it is the numerical opposite of the orginal term set

Question 5

How do you rationalize the numerator?

Answer 5

you follow the same sets as the denominator, except multiply it by numerator over numerator!