Question

calcule: 5√12+4√18+3√2+9√3​

Answer 1

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$\boxed{\begin{array}{l}\sf5\sqrt{12}+4\sqrt{18}+3\sqrt{2}+9\sqrt{3}\\\sf 5\cdot\sqrt{2^{\diagdown\!\!\!\!2}\cdot3}+4\cdot\sqrt{2\cdot3^{\diagdown\!\!\!\!2}}+3\sqrt{2}+9\sqrt{3}\\\sf=5\cdot2\sqrt{3}+4\cdot3\sqrt{2}+3\sqrt{2}+9\sqrt{3}\\\sf=10\sqrt{3}+12\sqrt{2}+3\sqrt{2}+9\sqrt{3}\\\sf=19\sqrt{3}+15\sqrt{2}\end{array}}\blue{\checkmark}$