CBSE Class 9CBSE
Share
Notifications

View all notifications

Simplify (7 + 3sqrt5)/(3 + Sqrt5) - (7 - 3sqrt5)/(3 - Sqrt5) - CBSE Class 9 - Mathematics

Login
Create free account


      Forgot password?

Question

Simplify `(7 + 3sqrt5)/(3 + sqrt5) - (7 - 3sqrt5)/(3 - sqrt5)`

Solution

 We know that rationalization factor for `3 + sqrt5` and `3 - sqrt5` are `3 - sqrt5` and `3 + sqrt5`respectively.

We will multiply numerator and denominator of the given expression  `(7 + 3sqrt5)/(3 + sqrt5)` and `(7 - 3sqrt5)/(3 - sqrt5)` by `3 - sqrt5` ans `3 + sqrt5` respectively, to get

`(7 + 3sqrt5)/(3 + sqrt5) xx (3 - sqrt5)/(3 - sqrt5) - (7 - 3sqrt5)/(3 - sqrt5) xx (3 + sqrt5)/(3 + sqrt5)`

  Is there an error in this question or solution?

Video TutorialsVIEW ALL [1]

Solution Simplify (7 + 3sqrt5)/(3 + Sqrt5) - (7 - 3sqrt5)/(3 - Sqrt5) Concept: Operations on Real Numbers.
S
View in app×