Radicals
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Radicals PowerPoint PPT Presentation


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Radicals. Objective: To review working with radical expressions. Perfect Squares. 64. 225. 1. 81. 256. 4. 100. 289. 9. 121. 16. 324. 144. 25. 400. 169. 36. 196. 49. 625. Simplify. = 2. = 4. = 5. This is a piece of cake!. = 10. = 12.

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Radicals

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Radicals

Objective: To review working with radical expressions.


Perfect Squares

64

225

1

81

256

4

100

289

9

121

16

324

144

25

400

169

36

196

49

625


Simplify

= 2

= 4

= 5

This is a piece of cake!

= 10

= 12


Perfect Square Factor * Other Factor

Simplify

=

=

=

=

LEAVE IN RADICAL FORM

=

=

=

=

=

=


Perfect Square Factor * Other Factor

Simplify

=

=

=

=

LEAVE IN RADICAL FORM

=

=

=

=

=

=


Warm up

  • Simplify:

  • 1.

  • 2.

  • 3.


Multiplying & Dividing Radicals

Objective: To simplifying products and quotients of radicals.


Multiplying Radicals

*

To multiply radicals: multiply the coefficients and then multiply the radicands and then simplify the remaining radicals.


Multiply and then simplify


Dividing Radicals

To divide radicals: divide the coefficients, divide the radicands if possible, and rationalize the denominator so that no radical remains in the denominator


This cannot be divided which leaves the radical in the denominator. We do not leave radicals in the denominator. So we need to rationalize by multiplying the fraction by something so we can eliminate the radical in the denominator.

42 cannot be simplified, so we are finished.


This can be divided which leaves the radical in the denominator. We do not leave radicals in the denominator. So we need to rationalize by multiplying the fraction by something so we can eliminate the radical in the denominator.


This cannot be divided which leaves the radical in the denominator. We do not leave radicals in the denominator. So we need to rationalize by multiplying the fraction by something so we can eliminate the radical in the denominator.

Reduce the fraction.


Simplify

= X

= Y3

= P2X3Y

= 2X2Y

= 5C4D10


Simplify

=

=

=

=


=

=

=

=


Warm up

  • Simplify

  • 1.

  • 2.

  • 3.


Adding & Subtracting Radicals

Objective: To simplify sums & differences of radicals.


Combining Radicals

+

To combine radicals: combine the coefficients of like radicals


Simplify each expression


Simplify each expression: Simplify each radical first and then combine.


Simplify each expression: Simplify each radical first and then combine.


Simplify each expression


Simplify each expression


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