Unit 3 Day 3 - Rational Exponents and Radicals

Quiz! Have desks cleared! When you finish your quiz, have out HW!

Continuing with Basic Operations Multiplying: Multiply outside by outside, radicand by radicand, then simplify Dividing is practically the same!

Dividing Radicals 1) Divide outside by outside 2) Divide inside by inside, 3) Simplify. Examples:

You try:

Adding & Subtracting Radicals You can only add or subtract radicals that contain the same index and radicand. Just like you don’t change the variable expression, you won’t change the radical expression. Only add and subtract the coefficients. ALWAYS SIMPLFY THE RADICAL FIRST!

Examples In your groups, complete the remaining problems

Essential Question #3 (3.14.2014) How can rewriting radicals in rational exponents help us simplify the expression?

In your notes– Match the following In your notes– Match the following. Each set should have a radical, a rational exponent, and an integer. Circulate classroom and give students hints, if needed.

What do you notice about the index and the denominator in the fractions? - The denominator of the fraction is the index of the radical! The numerator of fraction is the exponent of the radicand. So what does mean?

Rewrite each of the following expressions in radical form. Work out the first couple of examples before letting students practice in groups.

Check your work! Work out the first couple of examples before letting students practice in groups.

Objective 2: Write the following expressions in radical form Objective 2: Write the following expressions in radical form. Now, you can solve them! Work out the first couple of examples before letting students practice in groups.

Check your work! Work out the first couple of examples before letting students practice in groups.

*How would you explain to a friend how to rewrite exponential expressions in radical form? *Generalize the rule for changing rational exponents to radical form using am/n Work out the first couple of examples before letting students practice in groups.

Reverse the rule you developed to change radical expressions into exponential expressions. Work out the first couple of examples before letting students practice in groups.

Check your work! Work out the first couple of examples before letting students practice in groups.

Rewrite the following as exponential expressions, then simplify!

Check your work!

Homework Kuta Worksheet