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# Radicals - PowerPoint PPT Presentation

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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Presentation Transcript

Objective: To review working with radical expressions.

64

225

1

81

256

4

100

289

9

121

16

324

144

25

400

169

36

196

49

625

= 2

= 4

= 5

This is a piece of cake!

= 10

= 12

Simplify

=

=

=

=

=

=

=

=

=

=

Simplify

=

=

=

=

=

=

=

=

=

=

• Simplify:

• 1.

• 2.

• 3.

Objective: To simplifying products and quotients of radicals.

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

= X

= Y3

= P2X3Y

= 2X2Y

= 5C4D10

Simplify 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.

=

=

=

=

= 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.

=

=

=

Warm up 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.

• Simplify

• 1.

• 2.

• 3.

### Adding & Subtracting Radicals 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.

Objective: To simplify sums & differences of radicals.

Combining Radicals 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.

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