Question

हर
परिमेय करण करते
हुए सरल कीजिए.
4+3√5/4-3√5​

Answer 1

Given :   (4  + 3√5) /   (4  - 3√5)

To Find : हर का परिमेय करण

Solution:

(4  + 3√5) /   (4  - 3√5)

Multiply and divide by (4  + 3√5)

= (4  + 3√5)(4  + 3√5)  /   (4  - 3√5) (4  + 3√5)

= (4  + 3√5)² /   (4  - 3√5) (4  + 3√5)

(a + b)² = a²  + b²  + 2ab

(a + b)(a - b) = a² - b²

= ( 16 + 45 + 24√5)/(16 - 45)

=  (61 + 24√5)/(-29)

= - 61/29   - 24√5/29

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