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Multiplying and Dividing Radical Expressions

by Corina
(NJ )










































Rationalize the denominator of the expression. Assume that all variable are positive.
1. 3 to the square root of 11 divided by 3 to the square root of 6.

Comments for Multiplying and Dividing Radical Expressions

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Jan 15, 2012
Rationalizing the Denominator
by: Staff


Question:

by Corina
(NJ )


Rationalize the denominator of the expression. Assume that all variable are positive.
1. 3 to the square root of 11 divided by 3 to the square root of 6.


Answer:

3 to the square root of 11 divided by 3 to the square root of 6

3 (raised to the power of the square root of 11) DIVIDED BY 3 (raised to the power of the square root of 6)

3^(√11) ÷ 3^(√6)

= 3^(√11) / 3^(√6)

= 3^[(√11)-(√6)]



If you actually meant 3*(√11) ÷ 3*(√6), you can rationalize the denominator by multiplying both the numerator and the denominator by (√6)

3*(√11) / 3*(√6)

= [3*(√11) / 3*(√6)] * [(√6) / (√6)]

The two 3’s cancel

= [(√11) / (√6)] * [(√6) / (√6)]

= [(√11) * (√6)] / [(√6) * (√6)]

= [(√11) * (√6)] / 6

= (√66) / 6


Thanks for writing.
Staff

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