$${ \left(2 \sqrt{ 2 } + \sqrt{ 5 } \right) }^{ 2 }$$
$4\sqrt{10}+13\approx 25.649110641$
$$4\left(\sqrt{2}\right)^{2}+4\sqrt{2}\sqrt{5}+\left(\sqrt{5}\right)^{2}$$
$$4\times 2+4\sqrt{2}\sqrt{5}+\left(\sqrt{5}\right)^{2}$$
$$8+4\sqrt{2}\sqrt{5}+\left(\sqrt{5}\right)^{2}$$
$$8+4\sqrt{10}+\left(\sqrt{5}\right)^{2}$$
$$8+4\sqrt{10}+5$$
$$13+4\sqrt{10}$$
Show Solution
Hide Solution
$4 \sqrt{10} + 13 = 25.649110641$
