E. Rationalizing the Denominator: Binomial Denominators
Completion requirements
E. Rationalizing the Denominator: Binomial Denominators
In all of the examples so far, the radicals in the denominators have been monomials. What are the steps when the denominator is a binomial with at least one square root? You cannot simply multiply the numerator and denominator by the square root because there will still be at least one square root remaining in the denominator.
Investigation |
Binomials with Radicals
-
Expand and simplify the following expressions.
-
\(\left( 2\sqrt {7} - 3 \right)\left( 2\sqrt {7} + 3 \right)\)
-
\(\left( {5\sqrt 2 - 2\sqrt 3 } \right)\left( {5\sqrt 2 + 2\sqrt 3 } \right)\)
-
What do you notice about each of the answers in the Investigation?