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If √2 = 1.4 and √3 = 1.7, Find the Value of : 1/√3 - √2 - Mathematics

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Question

If √2 = 1.4 and √3 = 1.7, find the value of : `1/(√3 - √2)`

Sum

Solution

√2 = 1.4 and √3 = 1.7

`1/(√3 - √2 )`

= `1/(√3 - √2 ) xx (√3 + √2)/(√3 + √2)`

= `( √3 + √2 )/[(√3)^2 - (√2)^2]`

= `[ √3 + √2 ]/( 3 - 2 )`

= √3 + √2

= 1.7 + 1.4

= 3.1

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Rationalisation of Surds
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Chapter 1: Rational and Irrational Numbers - Exercise 1 (C) [Page 22]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
Exercise 1 (C) | Q 13.1 | Page 22
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