unit 3 day 3 - rational exponents and radicals. quiz! have desks cleared! when you finish your quiz,...
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![Page 1: Unit 3 Day 3 - Rational Exponents and Radicals. Quiz! Have desks cleared! When you finish your quiz, have out HW!](https://reader036.vdocuments.net/reader036/viewer/2022062223/551bd37a550346c3588b55f0/html5/thumbnails/1.jpg)
Unit 3 Day 3 - Rational Exponents and Radicals
![Page 2: Unit 3 Day 3 - Rational Exponents and Radicals. Quiz! Have desks cleared! When you finish your quiz, have out HW!](https://reader036.vdocuments.net/reader036/viewer/2022062223/551bd37a550346c3588b55f0/html5/thumbnails/2.jpg)
Quiz! Have desks cleared!
When you finish your quiz, have out HW!
![Page 3: Unit 3 Day 3 - Rational Exponents and Radicals. Quiz! Have desks cleared! When you finish your quiz, have out HW!](https://reader036.vdocuments.net/reader036/viewer/2022062223/551bd37a550346c3588b55f0/html5/thumbnails/3.jpg)
Continuing with Basic Operations
Multiplying: Multiply outside by outside, radicand by radicand, then simplify
Dividing is practically the same!
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Dividing Radicals
1) Divide outside by outside2) Divide inside by inside, 3) Simplify.Examples:
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You try:
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• 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
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Examples
In your groups, complete the remaining problems
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Essential Question #3(3.14.2014)
How can rewriting radicals in rational exponents help us simplify the expression?
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In your notes– Match the following. Each set should have a radical, a rational exponent, and an integer.
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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
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Rewrite each of the following expressions in radical form.
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Check your work!
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Objective 2: Write the following expressions in radical form. Now, you can solve them!
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Check your work!
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*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
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Reverse the rule you developed to change radical expressions into exponential expressions.
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Check your work!
![Page 18: Unit 3 Day 3 - Rational Exponents and Radicals. Quiz! Have desks cleared! When you finish your quiz, have out HW!](https://reader036.vdocuments.net/reader036/viewer/2022062223/551bd37a550346c3588b55f0/html5/thumbnails/18.jpg)
Rewrite the following as exponential expressions, then simplify!
![Page 19: Unit 3 Day 3 - Rational Exponents and Radicals. Quiz! Have desks cleared! When you finish your quiz, have out HW!](https://reader036.vdocuments.net/reader036/viewer/2022062223/551bd37a550346c3588b55f0/html5/thumbnails/19.jpg)
Check your work!
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Homework
Kuta Worksheet