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खालील संख्यांच्या छेदांचे परिमेयीकरण करा. 325-32 - Mathematics 1 - Algebra [गणित १ - बीजगणित]

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Question

खालील संख्यांच्या छेदांचे परिमेयीकरण करा.

`3/(2sqrt5 - 3sqrt2)`

Sum

Solution

`3/(2sqrt5 - 3sqrt2)`

= `3/(2sqrt5 - 3sqrt2) xx (2sqrt5 + 3sqrt2)/(2sqrt5 +3sqrt2)`

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

= `(3(2sqrt5 + 3sqrt2))/(4 xx 5 - 9 xx 2)`

= `(3(2sqrt5 + 3sqrt2))/(20 - 18)`

= `(3(2sqrt5 + 3sqrt2))/2`

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छेदाचे परिमेयीकरण
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Chapter 2: वास्तव संख्या - सरावसंच 2.4 [Page 32]

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Balbharati Algebra (Mathematics 1) [Marathi] 9 Standard Maharashtra State Board
Chapter 2 वास्तव संख्या
सरावसंच 2.4 | Q (2) (ii) | Page 32
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