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Question
Expand:
`(sqrt(5) + sqrt(2))^2`
Sum
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Solution
To expand `(sqrt(5) + sqrt(2))^2`,
Use the identity:
(a + b)2 = a2 + 2ab + b2
Let `a = sqrt(5), b = sqrt(2)`
Then: `(sqrt(5) + sqrt(2))^2`
= `(sqrt(5))^2 + 2(sqrt(5))(sqrt(2)) + (sqrt(2))^2`
= `5 + 2sqrt(10) + 2`
= `7 + 2sqrt(10)`
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Chapter 1: Rational and Irrational Numbers - MISCELLANEOUS EXERCISE [Page 17]
