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Question
Simplify:
`(sqrt(7) - sqrt(3))(sqrt(7) + sqrt(3))`
Simplify
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Solution
Given: `(sqrt(7) - sqrt(3))(sqrt(7) + sqrt(3))`
Step wise calculation:
This is a product of conjugates of the form (a – b)(a + b) = a2 – b2.
Here, `a = sqrt(7)` and `b = sqrt(3)`.
So, `(sqrt(7) - sqrt(3))(sqrt(7) + sqrt(3))`
= `(sqrt(7))^2 - (\sqrt(3))^2`
= 7 – 3
= 4
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Chapter 1: Rational and Irrational Numbers - Exercise 1D [Page 27]
