Question

simplify the following Expression
i) (5+√5)(5-√5)
ii) (√3+√7) ²​

Answer 1

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Answer 2

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i) (5+√5)(5-√5)

By ( a + b )( a - b ) = a² - b²

a = 5

b = √5

( a + b )( a - b ) = a² - b²

=> (5+√5)(5-√5) = 5² - √5²

=> 25 - 5

=> 20

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ii) (√3+√7) ²

By ( a + b )² = a²+2ab+b²

a = √3

b = √7

( a + b )² = a²+2ab+b²

=> (√3+√7) ² = √3²+2(√3)(√7)+√7²

=> 3 + 2√21 + 7

=> 10 + 2√21

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