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Expand: (7 – sqrt(3))^2 - Mathematics

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Question

Expand:

`(7 - sqrt(3))^2`

Sum
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Solution

We have, `(7 - sqrt(3))^2`

= `(7)^2 + (sqrt(3))^2 - 2 xx 7 xx sqrt(3)`  ...[Use (a – b)2 = a2 + b2 – 2ab]

= `49 + 3 - 14sqrt(3)`

= `52 - 14sqrt(3)`

Therefore, the required is `52 - 14sqrt(3)`.

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Chapter 1: Rational and Irrational Numbers - EXERCISE 1C [Page 15]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
EXERCISE 1C | Q 5. (ii) | Page 15
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