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# Simplifying Radicals - PowerPoint PPT Presentation

Simplifying Radicals. 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. = . = . = . = .

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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

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=

=

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=

Simplify

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+

Perfect Square Factor * Other Factor then combine.

Simplify

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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

That was easy! then combine.

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.

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= 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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