Express of the Following with Rational Denominator 1/(Sqrt6 - Sqrt5) - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

Express of the following with rational denominator:

`1/(sqrt6 - sqrt5)`

Advertisement Remove all ads


We know that rationalization factor for `sqrt6 - sqrt5` is `sqrt6 + sqrt5`. We will multiply numerator and denominator of the given expression `1/(sqrt6 -sqrt5)` by `sqrt6 + sqrt5` to get

`1/(sqrt6 - sqrt5) xx (sqrt6 + sqrt5)/(sqrt6 + sqrt5) = (sqrt6 + sqrt6)/((sqrt6)^2 - (sqrt5)^2`

`= (sqrt6 + sqrt5)/(6 - 5)`

`= (sqrt6 + sqrt5)/(6 - 5)`

`= (sqrt6 + sqrt5)/1`

`= sqrt6 + sqrt5`

Hence the given expression is simplified with rational denominator to `sqrt6 + sqrt5`.

Concept: Operations on Real Numbers
  Is there an error in this question or solution?


RD Sharma Mathematics for Class 9
Chapter 3 Rationalisation
Exercise 3.2 | Q 3.2 | Page 14

Video TutorialsVIEW ALL [1]


View all notifications

      Forgot password?
View in app×