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 outside2) Divide inside by inside, 3) Simplify.Examples:

You try:

• 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!

Adding & Subtracting Radicals

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. Each set should have a radical, a rational exponent, and an integer.

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? nx1

n x1

Rewrite each of the following expressions in radical form.

Check your work!

Objective 2: Write the following expressions in radical form. Now, you can solve them!

Check your work!

*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

Reverse the rule you developed to change radical expressions into exponential expressions.

Check your work!

Rewrite the following as exponential expressions, then simplify!

Check your work!

Homework

Kuta Worksheet