Question

Simplify (6 - 3√3 ) (2 - 5√2 )

Answer 1

$(6 - 3\sqrt{3})(2 - 5\sqrt{2})\\= 6(2 - 5\sqrt{2})-3\sqrt{3}(2 - 5\sqrt{2})\\= 12 - 30\sqrt{2} - 6\sqrt{3} + 15\sqrt{2}\times \sqrt{3} \\= 12 - 30\sqrt{2} - 6\sqrt{3} + 15\sqrt{6}$

Therefore.,

$\red {(6 - 3\sqrt{3})(2 - 5\sqrt{2})}$

$\green { = 12 - 30\sqrt{2} - 6\sqrt{3} + 15\sqrt{6}}$

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