20-1 Radicals

Presentation

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Mathematics

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9th - 12th Grade

•

Practice Problem

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Medium

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CCSS

HSN.RN.A.2, 8.EE.A.2, RI.9-10.4

Standards-aligned

OLIVIA GREEN

Used 20+ times

FREE Resource

9 Slides • 9 Questions

Radical

Expressions

By OLIVIA GREEN

The opposite of a root is an exponent!
To simplify SQUARE ROOTS:
- Write the radicand as a product of numbers, one of which is a PERFECT SQUARE.
- Find the square root of the perfect square.

Radical Expressions

Basics/Square Roots

Multiple Choice

What is the inverse operation of an exponent?

multiplying

finding the root

dividing

finding the base

Multiple Choice

$\sqrt[]{36}$

NOT ALL SQUARE ROOTS ARE PERFECT!
- When this happens you should follow the same process ,but you will need to leave any remaining products that cannot come out of the radical underneath the root.

Radical Expressions

Basics/Square Roots

Multiple Choice

$\sqrt[]{18}$

$3\sqrt[]{2}$

$2\sqrt[]{9}$

$2\sqrt[]{3}$

$\sqrt[]{9}$

Expon

To simplify CUBE ROOTS:
- Write the radicand as a product of numbers, one of which is a PERFECT CUBE.
- Find the cube root of the perfect cube.

Radical Expressions

Cube Root & Beyond

Multiple Choice

$\sqrt[3]{64}$

Multiple Choice

$\sqrt[3]{54}$

$3\sqrt[3]{18}$

$2\sqrt[3]{3}$

$3\sqrt[3]{2}$

$18\sqrt[3]{3}$

Fractional Exponents can be written as radical expressions!

Bottom

Index

Top

Exponent

Radical Expressions

Fractional Exponents

Open Ended

What does B.I.T.E stand for?

Type response here

Multiple Choice

$13^{\frac{1}{4}}$

$\sqrt[]{13}$

$\sqrt[4]{13}$

$\left(\sqrt[4]{13}\right)^2$

$3\sqrt[3]{2}$

Multiple Select

$7^{\frac{3}{5}}$ This fractional exponent can be written in TWO ways! Select two choices!

$\left(\sqrt[3]{7}\right)^5$

$\left(\sqrt[5]{7}\right)^3$

$\sqrt[3]{7^5}$

$\sqrt[5]{7^3}$

Multiple Choice

Write the following as a radical expression: $x^{\frac{3}{2}}$

(Be careful! ;)

$\sqrt[]{x^3}$

$\sqrt[2]{x^3}$

$\sqrt[3]{x^2}$

$\left(\sqrt[3]{x}\right)^2$

Shoulder Partners Time!

Explain to your partner what you got out of today's lesson. What did you learn? Then, let your shoulder partner explain what they learned from class today!

The shoulder partner with the shortest hair goes first!

Time to Practice!

Turn to pg. 303 in your textbook and work out problems 10-16 on a loose leaf piece of paper.

Whatever is not completed in class is for HOMEWORK tonight!

Radical

Expressions

By OLIVIA GREEN

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