McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
1. Geometric Mean
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Exercise 70 Page 627

To rationalize a monomial denominator, multiply the numerator and denominator by a radical that will eliminate the radical in the denominator.

3sqrt(55)/11

Practice makes perfect
To rationalize a monomial denominator, we multiply the numerator and denominator by a radical that will eliminate the radical in the denominator. Because the denominator is a square root, we need to multiply it by a square root that will give us a perfect square under the radical.
3sqrt(5)/sqrt(11)
3sqrt(5) * sqrt(11)/sqrt(11) * sqrt(11)
3sqrt(5) * sqrt(11)/11
We know that we have successfully rationalized the denominator because the radical has been eliminated. However, our fraction can still simplified a bit further. Let's try!
3sqrt(5) * sqrt(11)/11
3sqrt(5 * 11)/11
3sqrt(55)/11