Rationalizing the Denominator (1st)

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

Simplify the expression: 10 / √5

Back

2√5

Front

What is the result of multiplying the numerator and denominator by √5 in the expression 10 / √5?

Back

(10√5) / (√5 * √5) = 10√5 / 5 = 2√5

Front

What is the general formula for rationalizing a denominator with a square root?

Back

If you have a fraction a / √b, multiply both the numerator and denominator by √b to rationalize it.

Front

Simplify the expression: 5 / √3

Back

(5√3) / 3

Front

What is the purpose of rationalizing the denominator?

Back

The purpose is to simplify the expression and make it easier to work with, especially in further calculations.

Front

Simplify the expression: 8 / √2

Back

4√2

Front

What happens when you multiply a fraction by 1 in the form of √b/√b?

Back

It does not change the value of the fraction but helps in rationalizing the denominator.

Front

Simplify the expression: 12 / √6

Back

2√6

Front

What is the result of rationalizing the denominator of 1 / √x?

Back

√x / x