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Try reviewing these fundamentals first.

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Try reviewing these fundamentals first.

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Get Started Now- Lesson: 116:11
- Lesson: 2a0:22
- Lesson: 2b1:00
- Lesson: 2c2:56
- Lesson: 2d0:28
- Lesson: 2e3:34
- Lesson: 3a6:43
- Lesson: 3b4:28
- Lesson: 3c5:42
- Lesson: 3d2:48
- Lesson: 3e5:58
- Lesson: 3f2:41
- Lesson: 418:21
- Lesson: 5a0:55
- Lesson: 5b0:37
- Lesson: 5c3:29
- Lesson: 5d1:57

Related concepts: Basic radical functions, Transformations of radical functions, Square root of a function, Solving radical equations,

$\cdot$ even root: ${^{even}}\sqrt{positive}=defined$ i.e. $\sqrt{64}=8$

${^{even}}\sqrt{negative}=undefined$ i.e. $\sqrt{-64}=undefined$

$\cdot$ odd root: ${^{odd}}\sqrt{positive\;or\;negative}=defined$ i.e. ${^3}\sqrt{64}=4$

i.e. ${^3}\sqrt{-64}=-4$

${^{even}}\sqrt{negative}=undefined$ i.e. $\sqrt{-64}=undefined$

$\cdot$ odd root: ${^{odd}}\sqrt{positive\;or\;negative}=defined$ i.e. ${^3}\sqrt{64}=4$

i.e. ${^3}\sqrt{-64}=-4$

- 1.$\cdot$What is a “radical”?

$\cdot$square root VS. cubic root

$\cdot$commom squares to memorize

- 2.
**Evaluating Radicals Algebraically**

Without using a calculator, evaluate:a)$\sqrt { - 9}$b)${^3}\sqrt{{ - 27}}$c)${^6}\sqrt{{\frac{1}{{64}}}}$d)${^4}\sqrt{{ - 81}}$e)$9{^3}\sqrt{{64}}$ - 3.
**Evaluating Radicals Using a Calculator**

Use a calculator to determine:a)${\;}{^6}\sqrt{{729}}$b)${^5}\sqrt{{-1024}}$c)${^5}\sqrt{{\frac{{32}}{{243}}}}$d)${^6}\sqrt{{600}}$e)${^5}\sqrt{{0.5}}$f)$\frac{3}{4}{^4}\sqrt{{36}}$ - 4.
**Radical Rules**

Combining radicals: Do's and Don'ts - 5.Determine whether the following statements are true or false.a)$\sqrt 2 \times \sqrt 3 = \sqrt 6$b)$\frac{{\sqrt {20} }}{{\sqrt {10} }} = \sqrt 2$c)$\sqrt {15} \cdot\sqrt {30} \cdot\sqrt 2 = 900$d)${^3}\sqrt{5} \cdot {^3}\sqrt{{25}} = 5$

10.

Radical Functions and Expressions

10.1

Squares and Square Roots

10.2

Cubic and Cube Roots

10.3

Evaluating and simplifying radicals

10.4

Multiplying and dividing radicals

10.5

Adding and subtracting radicals

10.6

Rationalize the denominator

10.7

Basic radical functions

10.8

Transformations of radical functions

10.9

Solving radical equations

10.10

Operations with radicals

10.11

Conversion between entire radicals and mixed radicals

10.12

Adding and subtracting radicals

10.13

Multiplying radicals (advanced)

10.14

Solving radical equations (advanced)

We have over 1100 practice questions in Algebra 2 for you to master.

Get Started Now10.1

Squares and Square Roots

10.2

Cubic and Cube Roots

10.3

Evaluating and simplifying radicals

10.4

Multiplying and dividing radicals

10.5

Adding and subtracting radicals

10.6

Rationalize the denominator

10.10

Operations with radicals

10.11

Conversion between entire radicals and mixed radicals

10.12

Adding and subtracting radicals

10.13

Multiplying radicals (advanced)