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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

5. Radical Equations

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Exercise 46 Page 263

To simplify the given expression, we can first rewrite the radical as a quotient of two radicals.

3sqrt(3)/|a|

Practice makes perfect

To simplify the given expression, we can first rewrite the radical as a quotient of two radicals. sqrt(27/a^2)=sqrt(27)/sqrt(a^2) Now, we can simplify the quotient. We will use the Product Property of Radicals.

sqrt(27)/sqrt(a^2)

sqrt(a^2)=|a|

sqrt(27)/|a|

SplitIntoFactors

Split into factors

sqrt(9 * 3)/|a|

sqrt(a* b)=sqrt(a)*sqrt(b)

sqrt(9) * sqrt(3)/|a|

Calculate root

3 * sqrt(3)/|a|

Multiply

3sqrt(3)/|a|

Subchapter links

Exercises p.261-263