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Simplify: (4 + √3)⁢(4 − √3) - Mathematics

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Question

Simplify:

`(4 + sqrt(3))(4 - sqrt(3))`

Simplify
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Solution

Given: `(4 + sqrt(3))(4 - sqrt(3))`

Step-wise calculation:

This is in the form (a + b)(a – b) = a2 – b2, where a = 4 and b = `sqrt(3)`.

`(4 + sqrt(3))(4 - sqrt(3))`

= `4^2 - (sqrt(3))^2`

= 16 – 3

= 13

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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. (iv) | Page 27
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