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Write the Lowest Rationalising Factor of : 15 - 3√2 - Mathematics

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प्रश्न

Write the lowest rationalising factor of : 15 - 3√2

बेरीज

उत्तर

15 - 3√2
15 - 3√2 = 3( 5 - √2 )
               = 3( 5 - √2 )( 5 + √2 )
               = 3 x `[ 5^2 - (sqrt2)^2 ]`
               = 3 x [ 25 - 2 ]
               = 3 x 23
               = 69
Its lowest rationalizing factor is 5 + √2.

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Rationalisation of Surds
  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 2.8 | पृष्ठ २१
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