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Question

(√5+√3) (√2-√6)


Solution

(a+b)(c+d) = ac+ad+bc+bd

in the same way,
(√5+√3)(√2-√6) = √5×√2 - √5×√6 + √3×√2 -√3×√6

=√10-√30+√6-√18        {Since, √a×√b=√(a×b)}
=√10-√(10×3)+√6-√(6×3)
=√10×[1-√3] + √6×[1-√3]
=[1-√3]×[√10+√6]

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