Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
Maintaining Mathematical Proficiency
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Exercise 5 Page 461

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

5sqrt(2)/2

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.
5/sqrt(2)
5sqrt(2)/sqrt(2)* sqrt(2)
5sqrt(2)/sqrt(2*2)
5sqrt(2)/sqrt(2^2)
5sqrt(2)/2