Multiplying and Rationalizing Expressions

To remove fractions from the numerator

To create an equivalent expression without square roots in the denominator

To add square roots to the numerator

To simplify the entire expression

Multiply by the same binomial

Change addition to subtraction

Divide by the same binomial

Change subtraction to addition

To eliminate the numerator

To form an equivalent expression

To create a different expression

To change the expression

49x

7x^2

14x

49x^2

They add up

They remain unchanged

They cancel each other out

They double

5

1

10

25

245x

49x^2

245x^2

5x^2

245x^2 - 12y^2

49x^2 + 12y^2

49x^2 - 12y^2

245x^2 + 12y^2

To make the expression more complex

To simplify the expression

To add square roots to the numerator

To eliminate square roots from the denominator

4y^2

-4y^2

-4y^2 times 3

4y^2 times 3