Question

$(4 sqrt{a} - frac{4a - 2 sqrt{a} }{2 + sqrt{a} } ) div frac{1}{2 + sqrt{a} }$

Answer 1

$ttleft(4sqrt{a}-cfrac{4a- 2sqrt{a}}{2+sqrt{a}}right):cfrac{1}{2+sqrt{a}}= cfrac{4sqrt{a}(2+sqrt{a})-(4a- 2sqrt{a})}{2+sqrt{a}}right)cdotcfrac{2+sqrt{a}}{1} = \\\=8sqrt{a}+4a-4a+ 2sqrt{a}=10sqrt{a}$