मराठी

Rationalise the Denominators of : 2 - √3 / 2 + √3 - Mathematics

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प्रश्न

Rationalise the denominators of : `[ 2 - √3 ]/[ 2 + √3 ]`

बेरीज

उत्तर

`[ 2 - √3 ]/[ 2 + √3 ] xx [ 2 - √3 ]/[ 2 - √3 ]`

= `[( 2 - √3 )^2]/[(2)^2 - (√3)^2] = [ 4 + 3 - 4√3]/[ 4 - 3 ]`

= `[ 7 - 4√3 ]/1` 
= 7 -  4√3

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Simplifying an Expression by Rationalization of the Denominator
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Rational and Irrational Numbers - Exercise 1 (C) [पृष्ठ २१]

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सेलिना Concise Mathematics [English] Class 9 ICSE
पाठ 1 Rational and Irrational Numbers
Exercise 1 (C) | Q 3.5 | पृष्ठ २१
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