Rationalizing the Denominator Homework

Front

What does it mean to rationalize the denominator?

Back

Rationalizing the denominator means to eliminate any irrational numbers (like square roots) from the denominator of a fraction.

Front

Why is it important to rationalize the denominator?

Back

Rationalizing the denominator simplifies calculations and makes it easier to compare fractions.

Front

How do you rationalize a fraction with a square root in the denominator?

Back

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

Front

What is the result of rationalizing 8/√6?

Back

(8√6)/(6) or (4√6)/3 after simplification.

Front

Which of the following fractions needs to be rationalized? √(11/5), 8/√6, √(9/10)

Back

All of them need to be rationalized.

Front

What is the first step in rationalizing a denominator?

Back

Identify the irrational number in the denominator.

Front

What is the formula for rationalizing a denominator with a binomial?

Back

Multiply by the conjugate of the denominator.

Front

What is the conjugate of (a + b)?

Back

The conjugate is (a - b).

Front

Simplify: 1/√2

Back

√2/2 after rationalizing.

Front

Simplify: 5/(3 + √2)

Back

(5(3 - √2))/7 after rationalizing.