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Question
Expand:
`(2 + sqrt(5))^2`
Sum
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Solution
We have, `(2 + sqrt(5))^2`
= `2^2 + (sqrt(5))^2 + 2 xx 2 xx sqrt(5)` ...[Use (a + b)2 = a2 + b2 + 2ab]
= `4 + 5 + 4sqrt(5)`
= `9 + 4sqrt(5)`
Therefore, the required is `9 + 4sqrt(5)`.
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Chapter 1: Rational and Irrational Numbers - EXERCISE 1C [Page 15]
