5.6 Radical Expressions Rationalizing the denominator Like radical expressions Conjugates.
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Transcript of 5.6 Radical Expressions Rationalizing the denominator Like radical expressions Conjugates.
5.6 Radical 5.6 Radical ExpressionsExpressions
Rationalizing the denominatorRationalizing the denominator
Like radical expressionsLike radical expressions
ConjugatesConjugates
Product Property of Radicals
If you have the same index, then you can multiply the radicands.
333 2054
3557
Some rules about Radicals
Radicals can not have fractions in them.
This is called Rationalizing the denominator.
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5
5
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Some rules about Radicals
Radicals can not be in the denominator.
No tents in the basement.
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34
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Multiply Radicals
You can only multiply radicals if they have the same index.
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aaa
50105105
10005101005
3 33
3 333 2
Adding and Subtract Radicals
If radical are to the same index and have the same radicand, then they are like radical expressions. Like radicals can be added or subtracted.
666
333
122127125
7117675
Conjugate
You can not have radicals in the denominator. We have to use the conjugate to rational the denominator in fractions.
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3
Conjugate
You can not have radicals in the denominator. We have to use the conjugate to rational the denominator in fractions.
54
54
54
3
54
3
Conjugate
Conjugate
You can not have radicals in the denominator. We have to use the conjugate to rational the denominator in fractions.
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2516
5312
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54
54
3
54
3