unit 3 day 3 - rational exponents and radicals. quiz! have desks cleared! when you finish your quiz,...
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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