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Simplify: (6 − √5)^2 - Mathematics

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Question

Simplify:

`(6 - sqrt(5))^2`

Simplify
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Solution

Given: `(6 - sqrt(5))^2`

Stepwise calculation:

Use the formula for the square of a binomial (a – b)2 = a2 – 2ab + b2:

= `6^2 - 2 xx 6 xx sqrt(5) + (sqrt(5))^2`

Calculate each term:

= `36 - 12sqrt(5) + 5`

Combine the rational terms:

= `41 - 12sqrt(5)`

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Chapter 1: Rational and Irrational Numbers - Exercise 1D [Page 27]

APPEARS IN

Nootan Mathematics [English] Class 9 ICSE
Chapter 1 Rational and Irrational Numbers
Exercise 1D | Q 2. (vi) | Page 27
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