Question
Add:
$\big(2\sqrt{3}-5\sqrt{2}\big)$ and $\big(\sqrt{3}+2\sqrt{2}\big)$
$\big(2\sqrt{3}-5\sqrt{2}\big)$ and $\big(\sqrt{3}+2\sqrt{2}\big)$
✓
Answer
We have:
$=\big(2\sqrt{3}-5\sqrt{2}\big)+\big(\sqrt{3}+2\sqrt{2}\big)$
$=\big(2\sqrt{3}+\sqrt{3}\big)+\big(-5\sqrt{2}+2\sqrt{2}\big)$
$=(2+1)\sqrt{3}+(-5+2)\sqrt{2}$
$=3\sqrt{3}-3\sqrt{2}$
$=\big(2\sqrt{3}-5\sqrt{2}\big)+\big(\sqrt{3}+2\sqrt{2}\big)$
$=\big(2\sqrt{3}+\sqrt{3}\big)+\big(-5\sqrt{2}+2\sqrt{2}\big)$
$=(2+1)\sqrt{3}+(-5+2)\sqrt{2}$
$=3\sqrt{3}-3\sqrt{2}$
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