Today's soundtrack is Kraftwerk: Autobahn, an utterly mesmerizing synth-driven ode to driving.
This afternoon, I am learning about multiplying and dividing radical expressions.
When multiplying a binomial expression including radicals, we use two properties: the distributive property and the multiplication property of radicals.
When multiplying a binomial expression which includes variable radicands, we first identify the values of the variables, then expand, simplify, and solve using the distributive property.
If we need to rationalize a binomial with a monomial denominator, we multiply the numerator by the denominator to remove our denominator.
To find the conjugate of a binomial expression, we invert the sign of the second expression.
If we are give a fraction which has a denominator looking for the sum or difference of two radicals with index 2, we ''multiply the numerator and the denominator by the conjugate of the denominator'' (p. 124).
I'll do the homework portion of the lesson another night.