Rationalizing the Denominator

Front

What does it mean to rationalize the denominator?

Back

To rationalize the denominator means to eliminate any radical (square root) from the denominator of a fraction.

Front

What is the result of rationalizing the fraction √3/√3?

Back

1

Front

What do we multiply by to rationalize 7/√3?

Back

√3/√3

Front

What is the result of rationalizing the fraction √9/√5?

Back

3√5/5

Front

How do you simplify √300?

Back

10√3

Front

What is the simplified form of √32?

Back

4√2

Front

What is the formula for rationalizing a fraction with a single square root in the denominator?

Back

Multiply the numerator and denominator by the square root in the denominator.

Front

What is the simplified form of √a * √b?

Back

√(a*b) or √ab.

Front

What is the result of rationalizing 5/√2?

Back

(5√2)/2.

Front

How do you simplify √(x^2)?

Back

|x| (the absolute value of x).