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 form of rationalizing the denominator for a fraction a / √b?

Back

Multiply both the numerator and denominator by √b to get (a√b) / b.

Front

Simplify the expression: 5 / √3

Back

(5√3) / 3

Front

What is the purpose of rationalizing the denominator?

Back

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

Front

Simplify the expression: 12 / √2

Back

6√2

Front

What happens when you multiply √a by √a?

Back

You get a, since √a * √a = a.

Front

Simplify the expression: 8 / √7

Back

(8√7) / 7

Front

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

Back

(√x) / x