(1+√(2))(2+√(3))=1× (2+√(3))+√(2)×(2+√(3)) =2+√(3)+2√(2)+√(2)×√(3) =2+√(3)+2√(2)+√(6) ...

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Rationalisation

1+√22+√3=

Question

$(1 + \sqrt{2}) (2 + \sqrt{3}) =$

2+3+22+6

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2+23+22+6

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2+3+2+6

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Solution

The correct option is A 2+3+22+6
$(1 + \sqrt{2}) (2 + \sqrt{3}) = 1 \times (2 + \sqrt{3}) + \sqrt{2} \times (2 + \sqrt{3})$
$= 2 + \sqrt{3} + 2 \sqrt{2} + \sqrt{2} \times \sqrt{3}$
$= 2 + \sqrt{3} + 2 \sqrt{2} + \sqrt{6}$

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