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- Radicals

Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

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Get Started Now- Intro Lesson: a7:50
- Intro Lesson: b10:04
- Lesson: 1a0:28
- Lesson: 1b0:19
- Lesson: 1c0:41
- Lesson: 1d0:48
- Lesson: 2a0:48
- Lesson: 2b0:34
- Lesson: 3a0:57
- Lesson: 3b1:38
- Lesson: 3c1:19
- Lesson: 3d2:31

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),

- Introductiona)How to simplify radicals?b)
- What is a radical?
- How to multiply radicals?
- How to divide radicals?
- General rules when we are dealing with variables in radicals

- 1.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)$\frac{( \sqrt{20} \times \sqrt{5})} {\sqrt{64}}$
- 2.Express the following radicals as a product of radicalsa)$\sqrt{45}$b)- $\sqrt{77}$
- 3.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 $\sqrt{2 } - \sqrt{5} )$

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