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Simplify : 22/2sqrt3 + 1 + 17/2sqrt3 - 1 - Mathematics

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प्रश्न

Simplify :
` 22/[2sqrt3 + 1] + 17/[ 2sqrt3 - 1]`

योग

उत्तर

` 22/[2sqrt3 + 1] + 17/[ 2sqrt3 - 1]`

= `[ 22(2sqrt3 - 1) + 17(2sqrt3 + 1)]/[(2sqrt3 + 1)( 2sqrt3 -1 )]`

= `[ 44sqrt3 - 22 + 34sqrt3 + 17]/[ (2sqrt3)^2 - 1 ]`

=`[ 78sqrt3 - 5]/[ 12 - 1]`

= `[ 78sqrt3 - 5 ]/11`

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Simplifying an Expression by Rationalization of the Denominator
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Rational and Irrational Numbers - Exercise 1 (C) [पृष्ठ २१]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 1 Rational and Irrational Numbers
Exercise 1 (C) | Q 5.1 | पृष्ठ २१
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