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

ConceptOperations on Real Numbers

#### 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 + sqrt5respectively.

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)

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Solution Simplify (7 + 3sqrt5)/(3 + Sqrt5) - (7 - 3sqrt5)/(3 - Sqrt5) Concept: Operations on Real Numbers.
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