Presentation on theme: "Unit: Radical Functions 7-3: Binomial Radical Expressions"— Presentation transcript:

Essential Question: What must be true of radical expressions in order to add them, but not multiply them?

Sometimes radicals can be added/subtracted, but they need to be simplified first.

When radicals are in the form of binomials, they can be multiplied together using FOIL

Assignment Page 382 Problems 1 – 6, all – 17, odd (show work)

Essential Question: What must be true of radical expressions in order to add them, but not multiply them?

Conjugates Conjugates are expressions that differ only by the sign between the two terms. Conjugates are used to eliminate radicals in an expression, as the result is an integer.

Your Turn Multiply each pair of conjugates

Rationalizing the denominator Recall that when we rationalized the denominator to a single radical expression, we simply multiplied numerator and denominator by that radical:

Rationalizing the denominator When dealing with a binomial for a denominator, we multiply numerator and denominator by the denominator’s conjugate