Skip to main content
  1. Life
  2. Education & Schools
  3. General Education

Rationalizing radical expressions

See also

Suppose we have the expression 8/15, with 15 under a square root sign. In order to rationalize this expression, we would multiply this expression by another expression which consists of a numerator and denominator that is identical to the denominator in our original equation. This means that we would multiply 8/15 (keeping in mind that the 15 is under a square root) by 15/15, with each the numerator and the denominator individually under a square root sign. We end up with a numerator which consists of 8 times 15 with a square root over the 15, and a denominator that is 15 without a square root. The reason the denominator that consists merely of 15 has no square root over it is because the square root of 15 times the square root of 15 = 15. Likewise the square root of the product of 15 x 15 = 15.



  • Johnny Manziel
    Should Johnny Manziel apologize for his hard partying over the offseason?
    Today's Buzz
  • Crop circles
    Similar crop circles appeared in Germany and England within days of each other
    19 Photos
  • Advanced placement
    The AP program is gaining traction as a key component in college admissions
    5 Photos
  • Beach hats
    Beat the heat with the best summer beach hats for women
    Beach Hats
  • Expectations for ministry
    Pastor preaches to newly ordained ministers about expectations for ministry
    6 Photos
  • Medical symptoms
    See which symptoms should cause you to seek a doctor’s attention right away
    6 Photos