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Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

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Get Started Now- Lesson: 1a7:50
- Lesson: 2a0:28
- Lesson: 2b0:19
- Lesson: 2c0:41
- Lesson: 2d0:48
- Lesson: 3a0:48
- Lesson: 3b0:34
- Lesson: 4a0:57
- Lesson: 4b1:38
- Lesson: 4c1:19
- Lesson: 4d2:31

Before doing any multiplication or division, we need to make sure the indices are the same. Multiplying radicals is simply multiplying the numbers inside the radical sign, the radicands, together. When dividing radicals, you can put both the numerator and denominator inside the same square roots.

Basic concepts: Evaluating and simplifying radicals, Converting radicals to mixed radicals, Converting radicals to entire radicals, Adding and subtracting radicals,

Related concepts: Operations with radicals, Conversion between entire radicals and mixed radicals, Adding and subtracting radicals (Advanced), Multiplying radicals (Advanced),

- 1.a)How to simplify radicals?
- 2.Write the following as a single radical = $\sqrt{x}$a)$\sqrt{3} \times \sqrt{8}$b)$\sqrt{7 \times 11}$c)$\sqrt{150} \over \sqrt{15}$d)$\frac{( \sqrt{20} \times \sqrt{5})} {\sqrt{64}}$
- 3.Express the following radicals as a product of radicalsa)$\sqrt{45}$b)- $\sqrt{77}$
- 4.Multiplying and dividing radicalsa)-4$\sqrt{2}$ * - $\sqrt{2}$b)5$\sqrt{2}$ * 6 $\sqrt{10}$ * 7 $\sqrt{50}$c)$\sqrt{3 }$ ( $\sqrt{8} + 4)$d)(4 $\sqrt{10 }$ - 3 $\sqrt{6}$ )(5 $\sqrt{2 } - \sqrt{5} )$

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)