Question

simplity (3+2√3) X(4+3√3)​

Answer 1

Answer:

$30+17\sqrt{3}$

Step-by-step explanation:

$(3+2\sqrt{3})(4+3\sqrt{3})$

$=(4)(3)+(3)(3)(\sqrt{3})+(2)(4)(\sqrt{3})+(2\sqrt{3})(3\sqrt{3})$

⇒ $12+9\sqrt{3}+8 \sqrt{3}+18$

⇒ $30+17\sqrt{3}$

∴ $(3+2\sqrt{3})(4+3\sqrt{3})=30+17\sqrt{3}$