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छेदाचे परिमेयीकरण करा. 135+22 - Mathematics 1 - Algebra [गणित १ - बीजगणित]

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Question

छेदाचे परिमेयीकरण करा.

`1/(3sqrt5 + 2sqrt2)`

Sum

Solution

`1/(3sqrt5 + 2sqrt2)`

= `1/((3sqrt5 + 2sqrt2)) × ((3sqrt5 - 2sqrt2))/((3sqrt5 - 2sqrt2))`

= `((3sqrt5 - 2sqrt2))/((3sqrt5)^2 - (2sqrt2)^2)`   ...[(a + b) (a − b) = a2 − b2]

= `((3sqrt5 - 2sqrt2))/(45 - 8)`

= `(3sqrt5 - 2sqrt2)/37`

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छेदाचे परिमेयीकरण
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Chapter 2: वास्तव संख्या - संकीर्ण प्रश्नसंग्रह 2 [Page 35]

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Balbharati Algebra (Mathematics 1) [Marathi] 9 Standard Maharashtra State Board
Chapter 2 वास्तव संख्या
संकीर्ण प्रश्नसंग्रह 2 | Q (8) (iv) | Page 35
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