Question

(2√3-5√2) + (√3+2√2)

Answer 1

Answer:

$\blue{\left(2\sqrt{3}-5\sqrt{2}\right)+\left(\sqrt{3}+2\sqrt{2}\right)=3\sqrt{3}-3\sqrt{2}\quad \left(\mathrm{Decimal:\quad }\:0.95351\dots \right)}$

Step-by-step explanation:

$\left(2\sqrt{3}-5\sqrt{2}\right)+\left(\sqrt{3}+2\sqrt{2}\right)$

$\gray{\mathrm{Remove\:parentheses}:\quad \left(a\right)=a}$

$=2\sqrt{3}-5\sqrt{2}+\sqrt{3}+2\sqrt{2}$

$\gray{\mathrm{Add\:similar\:elements:}\:-5\sqrt{2}+2\sqrt{2}=-3\sqrt{2}}$

$=2\sqrt{3}-3\sqrt{2}+\sqrt{3}$

$\gray{\mathrm{Add\:similar\:elements:}\:2\sqrt{3}+\sqrt{3}=3\sqrt{3}}$

$=3\sqrt{3}-3\sqrt{2}$