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Find the product. (3 – sqrt(5))(3 + sqrt(5)) - Mathematics

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Question

Find the product.

`(3 - sqrt(5))(3 + sqrt(5))`

Sum
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Solution

To find the product:

`(3 - sqrt(5))(3 + sqrt(5))`

Use the identity:

(a – b)(a + b) = a2 – b2

Here:

  • `a = 3`
  • `b = sqrt(5)`

Now apply the identity:

= `3^2 - (sqrt(5))^2`

= 9 – 5

= 4

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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 6. (i) | Page 15
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