express the following
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(i) ( 5 + √7 ) ( 2 + √5 )
= 5×( 2 + √5 ) + √7×( 2 + √5 )
= 5×2 + 5×√5 + (√7)×2 + √7×√5
= 10 + 5√5 + 2√7 + √35
(ii) ( 2√3 + 6√5 ) ( 5√2 - 3√3 )
= 2√3×( 5√2 - 3√3 ) + 6√5×( 5√2 - 3√3 )
= (2√3)×(5√2) - (2√3)×(3√3) + (6√5)×(5√2) - (6√5)×(3√3)
= 10√6 - 6×3 + 30√10 - 18√15
= 10√6 - 18 + 30√10 - 18√15
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