McGraw Hill Glencoe Geometry, 2012
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McGraw Hill Glencoe Geometry, 2012 View details
1. Geometric Mean
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Exercise 74 Page 545

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

7sqrt(3)

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.
21/sqrt(3)
21sqrt(3)/sqrt(3) * sqrt(3)
21sqrt(3)/3
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!
21sqrt(3)/3
3 * 7sqrt(3)/3
3 * 7sqrt(3)/3
7sqrt(3)