Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
1. The Pythagorean Theorem
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Exercise 47 Page 470

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

4sqrt(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.
12/sqrt(3)
12sqrt(3)/sqrt(3)* sqrt(3)
12sqrt(3)/sqrt(3*3)
12sqrt(3)/sqrt(3^2)
12sqrt(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!
12sqrt(3)/3
4sqrt(3)/1
4sqrt(3)