5.1 - Simplifying Radicals Lesson Slides: 4 Slides

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5.1 - Simplifying Radicals

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Steps for Simplifying Radical Expressions

Use a factor tree to find the prime factorization of the number under the radical.
Circle any pairs of numbers. Put one factor of each pair on the outside of the radical
All uncircled numbers stay under the radical
Simplify numbers outside of the radical and inside.

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Simplify using prime factorization

$\sqrt{20}$ $\sqrt{108}$

$-5\sqrt{60}$ $\sqrt{54a^2b^2}$

$\sqrt{49x^3y^4}$ $\sqrt{2z}\cdot\sqrt{14z^3}$

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Simplify using Prime Factorization

$-4\sqrt{8}\left(-5\sqrt{6}\right)$ $-3\sqrt{10ab}\cdot7\sqrt{30ab^2}$

5.1 - Simplifying Radicals

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